研究業績のリスト (澤野嘉宏)(令和 4 年 6 月 22 日現在)

Contents
1 学術論文
1.1 査読付学術論文 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1.2 査読付きの会議報告書 . . . . . . . . . . . . . . . . . . . . . . . .

3
3
18

2 口頭発表20
2.1 国内外講演 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.2 主要な招待講演 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.3 そのほかの招待講演 . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.4 連続講義, 集中講義 . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.5 研究者のための入門的講義 . . . . . . . . . . . . . . . . . . . . . . 25
3 研究のための海外渡航
27
3.1 共同研究 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
3.2 学会参加 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
4 書籍
28
4.1 教科書 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
4.2 数学一般の書籍 (共同執筆) . . . . . . . . . . . . . . . . . . . . . . 28
4.3 教科書の書評 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
4.4 専門書の書評 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
4.5 解説書 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
5 受賞

30

6 エディター

31

7 学位授与 (主査, 副査, 国内, 国外)
31
7.1 修士号 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
7.2 博士号 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
8 研究委託指導 (国外)32

9 講義担当科目

32
1

10 社会貢献 (エディターを除く)
32
10.1 オープンキャンパス . . . . . . . . . . . . . . . . . . . . . . . . . 32
10.2 オープンユニバーシティー . . . . . . . . . . . . . . . . . . . . . . 32
11 その他

33

2

1

学術論文

1.1

査読付学術論文

1. V.S. Guliyev and Y. Sawano, A note on the paper ”Singular integral operators in generalized Morrey spaces on curves in the complex plane”,
Mediterr. J. Math. (2017) 14: 203. doi.org/10.1007/s00009-017-1004-9,
by E. Burtseva. J. Math. Inequal. 16 (2022), no. 1, 345–346.
2. T. Batbold, Y. Sawano and G. Tumendemberel, Sharp bounds for certain
m-linear integral operators on p-adic function spaces, Filomat 36 (2022),
no. 3, 801–812.
3. Y. Sawano and S.M. Tabatabaie, Spaceability on Morrey spaces, Iran. J.
Math. Sci. Inform. 17 (2022), no. 1, 219–225.
4. M. Ikeda, I. Ishikawa and Y. Sawano, Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite
functions, J. Math. Anal. Appl. 511 (2022), no. 1, Paper No. 126048,
30 pp.
5. M. Izuki, E. Nakai and Y. Sawano, Atomic and wavelet characterizationof Musielak–Orlicz Hardy spaces for generalized Orlicz functions, Integral
Equations Operator Theory 94 (2022), no. 1, Paper No. 3, 33 pp.
6. Y. Sawano, Survey: S. Nakamura, H.V. Nguyen and Y. Sawano, Multiplier conditions for Boundedness into Hardy spaces, Ann. Inst. Fourier
Grenoble 71 (2021), no. 3, 1047–1064.
7. Y. Sawano, A refinement of the Adams theorem on the Riesz potential,
Operator theory and harmonic analysis―OTHA 2020. Part I. New generaltrends and advances of the theory, 497–506, Springer Proc. Math. Stat.,
357, Springer, Cham, [2021], ©2021.
8. D.I. Hakim and Y. Sawano, Complex interpolation of variable Morrey
spaces, Math. Nachr. 294 (2021), no. 11, 2140–2150.
9. S.R. El-Shabrawy and Y. Sawano, On the compactness and spectra of thegeneralized difference operator on the spaces ℓ∞ and bv, Oper. Matrices
15 (2021), no. 3, 959–983.
10. Y. Sawano and H. Fujiwara, Cantor functions associated with generalized
expansions, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci.
41 (2021), no. 4, Mathematics, 125–130.
11. R.A. Bandaliyev, P. Górka, V.S. Guliyev and Y. Sawano, Relatively compact sets in variable exponent Morrey spaces on metric spaces, Mediterr.
J. Math. 18 (2021), no. 6, Paper No. 232, 23 pp.

3

12. Y. Sawano and T. Shimomura, Fractional maximal operator on MusielakOrlicz spaces over unbounded quasi-metric measure spaces, Results Math.
76 (2021), no. 4, Paper No. 188.
13. N. Hatano, M. Ikeda, I. Ishikawa and Y. Sawano, Boundedness of composition operators on Morrey spaces and weak Morrey spaces, J. Inequal.
Appl, Paper No. 69, 15 pp (2021)
14. T. Nogayama and Y. Sawano, Local Muckenhoupt class for variable exponents, J. Inequal. Appl., Paper No. 70, 27 pp (2021)
15. R. Arai, E. Nakai and Y. Sawano, Generalized fractional integral operatorson Orlicz-Hardy spaces, Math. Nachr. 294, no. 2, 224–235 (2021)
16. V.I. Burenkov, D.I. Hakim, E. Nakai, Y. Sawano, T. Sobukawa,and T.V. Tararykova, Complex interpolation of the predual of Morrey
spaces over measure spaces, Georgian Math. J. 28, no. 3, 341–348 (2021)
17. Y. Sawano, S.M. Tabatabaie and F. Shahhoseini, Disjoint dynamics ofweighted translations on solid spaces, Topology Appl. 298, 107709, 14 pp(2021)
18. Y. Sawano and S.M. Tabatabaie, Inclusions in generalized Orlicz spaces,
Bull. Iranian Math. Soc. 47, no. 4, 1227–1233 (2021)
19. T. Nogayama, T. Ono, D. Salim and Y. Sawano, Atomic Decomposition
for Mixed Morrey Spaces, J. Geom. Anal. 31 (2021), no. 9, 9338–9365.
20. T. Nogayama and Y. Sawano, Local Muckenhoupt class for variable exponents, J. Inequal. Appl., 70 (2021)
21. N. Hatano, M. Ikeda, I. Ishikawa and Y. Sawano, Boundedness of composition operators on Morrey spaces and weak Morrey spaces, J. Inequal.
Appl., 69 (2021)
22. M. Okada and Y. Sawano, Weighted Hankel Transform and Its Applications to Fourier Transform, J. Fourier Anal. Appl. 27, no. 2, 23 (2021)
23. Y. Sawano and S.R. El-Shabrawy, The spectra of the generalized difference
operators on the spaces of convergent series, Linear Multilinear Algebra
69, no. 4, 732–751 (2021)
24. Y. Sawano and S. Sugano, Complex interpolation and the Adams theorem,
Potential Anal. 54, no. 2, 299–305 (2021)
25. S. Nakamura, Y. Sawano and H. Tanaka, Weighted local Morrey spaces,
Ann. Acad. Sci. Fenn. Math.. 45, no. 1, 67–93 (2020)
26. M. Mastylo and Y. Sawano, Applications of interpolation methods andMorrey spaces to elliptic PDEs (Interpolation methods and Morrey spaces),Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXI, 999-1021 (2020)4

27. Y. Sawano, X.X. Tian and J. Xu, Uniform boundedness of Szász-MirakjanKantorovich operators in Morrey spaces with variable exponents, Filomat
34, no. 7, 2109–2121 (2020)
28. Y. Inahama and Y. Sawano, Paracontrolled quasi-geostrophic equation
with space-time white noise. Dissertationes Math. 558 (2020), 81 pp.
29. M. Izuki, T. Noi and Y. Sawano, Some modular inequalities in Lebesgue
spaces with a variable exponent, Trans. A. Razmadze Math. Inst. 174,
no. 3, 343–349 (2020)
30. Y. Sawano, A weak type vector-valued inequality for the modified Hardy–
Littlewood maximal operator for general radon measure on Rn , Anal.
Geom. Metr. Spaces 8, no. 1, 261–267 (2020)
31. Y. Sawano and T. Shimomura, Predual spaces of generalized grand Morrey
spaces over non-doubling measure spaces, Georgian Math. J. 27, no. 3,
433–439 (2020)
32. D.I. Hakim and Y. Sawano, Complex interpolation of vanishing Morrey
spaces, Ann. Funct. Anal. 11, no. 3, 643–661 (2020)
33. D. Hashimoto, Y. Sawano and T. Shimomura, Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz
spaces over quasi-metric measure spaces, Colloq. Math. 161, no. 1,
51–66 (2020)
34. D. Salim, Y. Sawano and P. Zanu, Bilinear rough singular integral operators on Morrey spaces, J. Anal. 28, no. 3, 817–825 (2020)
35. D.I. Hakim and Y. Sawano, Complex interpolation of various subspacesof Morrey spaces, Sci. China Math. 63, no. 5, 937–964 (2020)
36. . Sawano, Sparse non-smooth atomic decomposition of Morrey spaces,
Math. Methods Appl. Sci. 43, no. 16, 9320–9326 (2020)
37. M. Izuki, T. Nogayama, T. Noi and Y. Sawano, Wavelet characterizationof local Muckenhoupt weighted Lebesgue spaces with variable exponent,
Nonlinear Anal. 198, 111930, 14 pp (2020)
38. Y. Sawano, S.R. El-Shabrawy, Fine spectra of the discrete generalizedCes´‘aro operator on Banach sequence spaces, Monatsh. Math. 192, no.
1, 185–224 (2020)
39. Y. Sawano, M. Shigematsu and T. Shimomura, Generalized Riesz potentials of functions in Morrey spaces L1,ϕ,κ (G) over non-doubling measurespaces. Forum Math. 32, no. 2, 339-–359 (2020)
40. Y. Sawano, Survey: Homogeneous Besov spaces, Kyoto Math. J. 60, No.
1, 1–43 (2020)5

41. Y. Sawano, A thought on generalized Morrey spaces, J. Indones. Math.
Soc. 25, No. 3 (2019), 210–281 (2019)42. N. Bez, Y. Hong, S. Lee, S. Nakamura and Y. Sawano, On the Strichartz
estimates for orthonormal systems of initial data with regularity, Adv.
Math., 354 (2019) 106736 (2019)43. M. Izuki, T. Noi and Y. Sawano, The John-Nirenberg inequality in ballBanach function spaces and application to characterization of BMO, J.
Inequal. Appl., Paper No. 268, 11 pp (2019)44. Y. Sawano, Paraproduct in Besov-Morrey spaces, Modern methods inoperator theory and harmonic analysis, 117–133, Springer Proc. Math.
Stat., 291, Springer, Cham, (2019)
45. L. Grafakos, S. Nakamura, H.V. Nguyen and Y. Sawano, Conditions forboundedness into Hardy spaces, Math. Nachr. 292, Issue 11, 2383-2410(2019)
46. H. Gunawan, E. Kikianty, Y. Sawano and C. Schwanke, Three geometricconstants for Morrey spaces, Bull. Korean Math. Soc.. 56, No. 6, pp.
1569–1575 (2019)47. N. Hatano and Y. Sawano, A note on the bilinear fractional integral operator acting on Morrey spaces, Trans. A. Razmadze Math. Inst. 173,
issue 3, 37–44 (2019)
48. V. Burenkov, A. Ghorbanalizadeh and Y. Sawano, On the equivalence ofthe K-functional and the modulus of continuity on the Morrey spaces, J.
Approx. Theory 248, 105295, 19 pp (2019)49. Y. Sawano, Singular integral operators acting on Orlicz–Morrey spaces ofthe first kind. Nonlinear Stud. 26, no. 4, 895–910 (2019)
50. V.S. Guliyev, A. Ghorbanalizadeh and Y. Sawano, Approximation bytrigonometric polynomials in variable exponent Morrey spaces, Anal. Math.
Phys. 9, no. 3, 1265–1285 (2019)51. M. Izuki, T. Koyama, T. Noi and Y. Sawano, Some modular inequalities
in Lebesgue spaces with variable exponent on the complex plane, Mat.
Zametki 106, no. 2, 241–247 (2019)52. F. Deringoz, V.S. Guliyev, E. Nakai, Y. Sawano and M. Shi, Generalized fractional maximal and integral operators on Orlicz and generalized
Orlicz–Morrey spaces of the third kind, Positivity, 23, no. 3, 727–757(2019)
53. M. Mastylo and Y. Sawano, Complex interpolation and Calderón–Mityagin
couples of Morrey spaces, Anal. PDE 12, no. 7, 1711–1740 (2019)6

54. Y. Sawano and T. Shimomura, Maximal operator on Orlicz spaces of two
variable exponents over unbounded quasi-metric measure spaces, Proc.
Amer. Math. Soc., 147, no. 7, 2877–2885 (2019)55. T. Iida and Y. Sawano, Orlicz-fractional maximal operators on weighted
Lp spaces, J. Math. Inequal., 13, no. 2, 369–413 (2019)56. Y. Sawano, D.I. Hakim and D. Salim, Riesz transform and fractional integral operators generated by nondegenerate elliptic differential operators,
Adv. Oper. Theory, 4, no. 4, 750–766 (2019)57. Y. Sawano and T. Shimomura, Boundedness of generalized Riesz potentials of functions in Morrey spaces L(1,φ;κ) (G) over non-doubling measurespaces, Math. Inequal. Appl., 22, no. 2, 577–599 (2019)58. D.I. Hakim, T. Nogayama and Y. Sawano, Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces, Math. J. Okayama Univ., 61, 99–128(2019)
59. K. Asami and Y. Sawano, Non-smooth decomposition of homogeneous
Triebel–Lizorkin–Morrey spaces, Comment. Math., 58, no. 1–2, 37–56(2018)
60. Y. Sawano and H. Yoshida, A predual of a predual of Bσ and its applications to commutators, Sci. China Math., 61, 1437–1472 (2018)
61. Y. Sawano and T. Shimomura, Predual spaces of generalized grand Morrey
spaces over non-doubling measure spaces, Georgian Math. J., 25, no. 2,
303–311 (2018)62. M. Mastylo, Y. Sawano and H. Tanaka, Morrey type space and its Köthedual space, Bull. Malays. Math. Soc., 41, 1181–1198 (2018)63. H. Gunawan, D.I. Hakim, E. Nakai and Y. Sawano, Hardy-type andHeisenberg’s inequality in Morrey spaces, Bull. Aust. Math. Soc., 97,
no. 3, 480–491 (2018)
64. S. Nakamura, Y. Sawano and H. Tanaka, The fractional operators on
weighted Morrey spaces, J. Geom. Anal., 28, no. 2, 1502–1524 (2018)
65. A. Meskhi and Y. Sawano, Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces, Mediterr. J. Math., 15, no.
3, Art. 100, 15 pages (2018)
66. D.I. Hakim, S. Nakamura, Y. Sawano and T. Sobukawa, Complex interu
polation of Bw-spaces, Complex Var. Elliptic Equ., 63, no. 4, 569–590(2018)
67. S. Nakamura and Y. Sawano, New function spaces related to Morrey
spaces and Fourier transform, Banach J. Math. Anal., 12, no. 1, 1–30
(2018)
7

68. Y. Sawano and S.R. El-Shabrawy, Weak Morrey spaces with applications,Math. Nachr., 291, 178–186 (2018)69. H. Gunawan, D.I. Hakim, E. Nakai and Y. Sawano, On inclusion relation
between weak Morrey spaces and Morrey spaces, Nonlinear Anal., 168,
27–31 (2018)
70. Y. Sawano, T. Shimomura and H. Tanaka, A remark on modified Morrey
spaces on metric measure spaces, Hokkaido Math. J., 47, 1–15 (2018)
71. V. Burenkov, A. Ghorbanalizadeh and Y. Sawano, Uniform boundedness of Kantorovich operators in Morrey spaces, Positivity, 22, 1097–1107(2018)
72. E. Suzuki-Sawano, K. Ueno, S. Naganos, Y. Sawano, J. Horiuchi and
M. Saitoe, A Drosophila ex vivo model of olfactory appetitive learning,
Scientific reports, online; DOI 10.1038/s41598-017-17955-1. (実験結果の統計処理者としての参加) (2017).
73. D.I. Hakim and Y. Sawano, Complex interpolation of Morrey spaces, Function spaces and inequalities, Springer Proc. Math. Stat., 206, Springer,
Singapore, 85–115 (2017)74. D.I. Hakim, S. Nakamura and Y. Sawano, Complex interpolation of smoothness Morrey subspaces, Constr. Approx., 46, 489–563 (2017)75. Y. Sawano, A non-dense subspace in Mpq with 1 < q < p < ∞, Trans.
A. Razmadze Math. Inst., 171, no. 3, 379–380 (2017)76. M. Izuki and Y. Sawano, Characterization of BMO via ball Banach function spaces, Vestnik of St. Petersburg Univ. Math., Mechanics. Astronomy, 4 (62), issue 1, 78–86 (2017)
77. T. Nogayama and Y. Sawano, Compactness of the commutators generated
by Lipschitz functions and fractional integral operators (Russian), Mat.
Zametki, 102, no. 5, 749–760 (2017)78. V.S. Guliyev, S.G. Hasanov and Y. Sawano, Decompositions of local Morreytype spaces, Positivity, 21, no. 3, 1223–1252 (2017)
79. G.Di Fazio, D.I. Hakim and Y. Sawano, Elliptic equations with discontinuous coefficients in generalized Morrey spaces, Eur. J. Math., 3, no. 3,
728–762 (2017)80. D.I. Hakim and Y. Sawano, Calderón’s first and second complex interpolations of closed subspaces of Morrey spaces, J. Four. Anal. Appl., 23,
no. 5, 1195–1226 (2017)81. D.I. Hakim, M. Izuki and Y. Sawano, Complex interpolation of grandLebesgue spaces, Monatsh. Math., 184, 245–272 (2017)8

82. N. Bez, S. Lee, S. Nakamura and Y. Sawano, Sharpness of the BrascampLieb inequality in Lorentz spaces, Electron. Res. Announc. Math. Sci.,
24, 53–63 (2017)
83. K.P. Ho, Y. Sawano, D. Yang and S. Yang, Hardy spaces for ball quasiBanach function spaces, Diss. Math., 525, 1–102 (2017)84. A. Akbulut, V.S. Guliyev, T. Noi and Y. Sawano, Generalized HardyMorrey spaces, Z. Anal. Anwend., 36, no. 2, 129–149 (2017)85. Y. Sawano and T. Shimomura, Generalized fractional integral operators
over non-doubling metric measure spaces, Integral Transforms Spec. Funct.,
28, no. 7, 534–546 (2017)86. Y. Sawano and T. Shimomura, Boundedness of the generalized fractional
integral operators on generalized Morrey spaces over metric measure spaces,
Z. Anal. Anwend., 36, no. 2, 159–190 (2017)87. S. Nakamura and Y. Sawano, The singular integral operator and its commutator on weighted Morrey spaces, Collect. Math., 68, no. 2, 145–174(2017)
88. T. Batbold and Y. Sawano, Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces, Math. Inequal. Appl., 20, no. 1,
263–283 (2017)89. Y. Sawano, S. Sugano and H. Tanaka, Muckenhoupt-Wheeden conjectures
for fractional integral operators, J. Math. Anal. Appl., 449, no. 1, 456–
463 (2017)
90. A. Akbulut, V.S. Guliyev, T. Noi and Y. Sawano, Generalized Morrey
spaces–revisited, Z. Anal. Anwend., 36, no. 1, 17–35 (2017)91. D.I. Hakim and Y. Sawano, A note on the complex interpolation of Morrey
spaces, Linear and Nonlinear Anal., 2, no. 2, 199–213 (2016)
92. T. Noi and Y. Sawano, Weighted variable modulation spaces, Sci. Math.
Jpn., 79, no. 1, 21–32 (2016)
93. C. Zhuo, Y. Sawano and D. Yang, Hardy spaces with variable exponents
on RD-spaces and applications, Diss. Math., 520, 1–74 (2016)
94. V. Adiyasuren, T. Batbold and Y. Sawano, A multidimensional integral
inequality related to Hilbert-type inequality, Mediterr. J. Math., 13, no.
6, 3837–3848 (2016)
95. V.S. Guliyev, S.G. Hasanov, Y. Sawano and T. Noi, Non-smooth atomic
decompositions for generalized Orlicz-Morrey spaces of the third kind,
Acta Appl. Math., 145, 133–174 (2016)996. H. Saito and Y. Sawano, A note on the Kakeya maximal operator andradial weights on the plane, Tohoku Math. J., (2) 68, no. 4, 639–649(2016)
97. F.-Y. Maeda, Y. Sawano and T. Shimomura, Some norm inequalities inMusielak-Orlicz spaces, Ann. Acad. Sci. Fenn. Math., 41, no. 2, 721–744(2016)
98. D.I. Hakim, Y. Sawano and T. Shimomura, Boundedness of generalized
fractional integral operators from the Morrey space L1,ϕ (X; µ) to the Campanato space L1,ψ (X; µ) over non-doubling measure spaces, Azerb. J.
Math., 6, no. 2, 117–127 (2016)
99. D.I. Hakim and Y. Sawano, Interpolation of generalized Morrey spaces,
Rev. Mat. Complut., 29, no. 2, 295–340 (2016)
100. S. Nakamura, T. Noi and Y. Sawano, Generalized Morrey spaces and trace
operator, Sci. China Math., 59, no. 2, 281–336 (2016)
101. D.I. Hakim, E. Nakai and Y. Sawano, Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces,
Rev. Mat. Complut., 29, no. 1, 59–90 (2016)
102. S. Mao, Y. Sawano and H. Wu, On the compactness of commutators forrough Marcinkiewicz integral operators, Taiwanese J. Math., 19, no. 6,
1777–1793 (2015)
103. M. Izuki, E. Nakai and Y. Sawano, Wavelet characterization and modular
inequalities for weighted Lebesgue spaces with variable exponent, Ann.
Acad. Sci. Fenn. Math., 40, no. 2, 551–571 (2015)
104. Y. Sawano and H. Tanaka, The Fatou property of block spaces, J. Math.
Sci. Univ. Tokyo, 22, no. 3, 663–683 (2015)
105. Y. Sawano, D.I. Hakim and H. Gunawan, Non-smooth atomic decomposition for generalized Orlicz-Morrey spaces, Math. Nachr., 288, no. 14–15,
1741–1775 (2015)
106. S. Gala, Y. Sawano and H. Tanaka, A remark on two generalized OrliczMorrey spaces, J. Approx. Theory, 198, 1–9 (2015)
107. T. Izumi, Y. Sawano and H. Tanaka, Littlewood-Paley theory for Morrey
spaces and their preduals, Rev. Mat. Complut., 28, no. 2, 411–447 (2015)
108. T. Batbold and Y. Sawano, A unified treatment of Hilbert-type inequalities involving the Hardy operator, Math. Inequal. Appl., 18, no. 3,
827–843 (2015)
109. V. Guliyev, M. Omarova and Y. Sawano, Boundedness of intrinsic squarefunctions and their commutators on generalized weighted Orlicz-Morrey
spaces, Banach J. Math. Anal., 9, no. 2, 44–62 (2015)10

110. T. Batbold and Y. Sawano, Decompositions for local Morrey spaces, EurasianMath. J., 5, no. 3, 9–45 (2014)111. M. Izuki, E. Nakai and Y. Sawano, Function spaces with variable exponents–
an introduction–, Sci. Math. Jpn., 77, no. 2, 187–315 (2014)112. Y. Sawano and H. Tanaka, Fatou property of predual Morrey spaces with
non-doubling measures, Int. J. Appl. Math., 27, no. 3, 283–296 (2014)
113. Y. Sawano and T. Shimomura, Sobolev embeddings for Riesz potentials
of functions in Musielak-Orlicz-Morrey spaces over non-doubling measurespaces, Integral Transforms Spec. Funct., 25, no. 12, 976–991 (2014)114. Y. Sawano and K. Yabuta, Fractional type Marcinkiewicz integral operators associated to surfaces, J. Inequal. Appl., 2014, 2014:232, 29 pages(2014)
115. A. Ghorbanalizadeh and Y. Sawano, Approximation in Banach space bylinear positive operators, Positivity, 18, no. 3, 585–594 (2014)116. Eridani, H. Gunawan, E. Nakai and Y. Sawano, Characterizations for thegeneralized fractional integral operators on Morrey spaces, Math. Inequal.
Appl., 17, no. 2, 761–777 (2014)
117. M. Izuki, Y. Sawano and Y. Tsutsui, Variable Lebesgue norm estimatesfor BMO functions. II, Anal. Math., 40, no. 3, 215–230 (2014)
118. Y. Sawano, H. Gunawan, V. Guliyev and H. Tanaka, Morrey spaces andrelated function spaces [Editorial], J. Funct. Spaces 2014, Art. ID 867192,
2 pages (2014)
119. T. Iida, Y. Sawano and H. Tanaka, Atomic decomposition for Morrey
spaces, Z. Anal. Anwend., 33, no. 2, 149–170 (2014)120. L. Liu, Y. Sawano and D. Yang, Morrey-type spaces on Gauss measurespaces and boundedness of singular integrals, J. Geom. Anal., 24, no. 2,1007–1051 (2014)121. E. Nakai and Y. Sawano, Orlicz-Hardy spaces and their duals, Sci. China
Math., 57, no. 5, 903–962 (2014)122. Y. Sawano, A new Brézis-Gallouët-Wainger inequality from the viewpointof the real interpolation functors, Math. Nachr., 287, no. 2–3, 352–358(2014)
123. G. Gala, M. A. Ragusa, Y. Sawano and H. Tanaka, Uniqueness criterionof weak solutions for the dissipative quasi-geostrophic equations in OrliczMorrey spaces, Appl. Anal., 93, no. 2, 356–368 (2014)11

124. V. Guliyev and Y. Sawano, Linear and sublinear operators on generalized
Morrey spaces with non-doubling measures, Publ. Math. Debrecen, 83,
no. 3, 303–327 (2013)125. Y. Komori-Furuya, K. Matsuoka, E. Nakai and Y. Sawano, Applicationsof Littlewood-Paley theory for Ḃσ -Morrey spaces to the boundedness of
integral operators, J. Funct. Spaces Appl. 2013, Art. ID 859402, 21
pages (2013)126. Y. Liang, Y. Sawano, T. Ullrich, D. Yang and W. Yuan, A new frameworkfor generalized Besov-type and Triebel-Lizorkin-type spaces, Diss. Math.,
489, 114 pages (2013)127. E. Nakai, G. Sadasue and Y. Sawano, Martingale Morrey-Hardy andCampanato-Hardy spaces, J. Funct. Spaces Appl,. 2013, Art. ID 690258,
14 pages (2013)
128. I. Sihwaningrum and Y. Sawano, Weak and strong type estimates for
fractional integral operators on Morrey spaces over metric measure spaces,
Eurasian Math. J., 4, no. 1, 76–81 (2013)129. Y. Sawano, Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators, Integr. Equ. Oper.
Theory, 77, no. 1, 123–148 (2013)130. Y. Sawano and T. Shimomura, Sobolev embeddings for Riesz potentials
of functions in non-doubling Morrey spaces of variable exponents, Collect.
Math., 64, no. 3, 313–350 (2013)131. M. Izuki and Y. Sawano, A criterion of sampling theorems on Banachfunction spaces, Tokyo J. Math., 36, no. 1, 131–145 (2013)132. H. Gunawan, D.I. Hakim, Y. Sawano and I. Sihwaningrum, Weak type
inequalities for some integral operators on generalized nonhomogeneousMorrey spaces, J. Funct. Spaces Appl., 2013, Art. ID 809704, 12 pages(2013)
133. Y. Sawano, A note on the boundedness of discrete commutators on Morrey
spaces and their preduals, J. Anal. Appl., 11, no. 1–2, 1–26 (2013)134. Y. Sawano and T. Shimomura, Sobolev embeddings for generalized Riesz
potentials of functions in Morrey spaces L(1,ϕ) (G) over nondoubling measure spaces, J. Funct. Spaces Appl. 2013, Art. ID 984259, 12 pages(2013)
135. S. Gala, Y. Sawano and H. Tanaka, On the uniqueness of weak solutionsof the 3D MHD equations in the Orlicz-Morrey space, Appl. Anal., 92,
no. 4, 776–783 (2013)12

136. Y. Sawano and T. Shimomura, Sobolev’s inequality for Riesz potentials offunctions in generalized Morrey spaces with variable exponent attaining
the value 1 over non-doubling measure spaces, J. Inequal. Appl. 2013,2013:12, 19 pages (2013)137. Y. Sawano and H. Wadade, On the Gagliardo-Nirenberg type inequality
in the critical Sobolev-Morrey space, J. Four. Anal. Appl., 19, no. 1,
20—47 (2013)138. Y. Komori-Furuya, K. Matsuoka, E. Nakai and Y. Sawano, Integral operators on Bσ -Morrey-Campanato spaces, Rev. Mat. Complut., 26, no. 1,
1–32 (2013)139. M. Izuki and Y. Sawano, Atomic decompositions for the weighted Besov
and Triebel-Lizorkin spaces, Math. Nachr., 285, no. 1, 103–126 (2012)
140. Y. Liang, Y. Sawano, T. Ullrich, D. Yang and W. Yuan, New characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces including coorbits andwavelets, J. Four. Anal. Appl., 18, no. 5, 1067–1111 (2012)141. T. Iida, E. Sato, Y. Sawano and H. Tanaka, Sharp bounds for multilinear
fractional integral operators on Morrey type spaces, Positivity, 16, no. 2,
339–358 (2012)142. T. Noi and Y. Sawano, Complex interpolation of Besov spaces and TriebelLizorkin spaces with variable exponents, J. Math. Anal. Appl., 387,
676–690 (2012)
143. T. Iida, E. Sato, Y. Sawano and H. Tanaka, Multilinear fractional integrals
on Morrey spaces, Acta Math. Sin. (Engl. Ser.), 28, no. 7, 1375–1384(2012)
144. Y. Sawano, S. Sugano and H. Tanaka, A note on generalized fractional
integral operators on Orlicz-Morrey spaces, Potential Anal., 36, no. 4,
517–556 (2012)145. Y. Mizuta, E. Nakai, Y. Sawano and T. Shimomura, Gagliardo-Nirenberg
inequality for generalized Riesz potentials of functions in Musielak-Orlicz
spaces, Arch. Math. (Basel), 98, no. 3, 253–263 (2012)146. S. Gala, Y. Sawano and H. Tanaka, A new Beale-Kato-Majda criteria forthe 3D magneto-micropolar fluid equations in the Orlicz-Morrey space,
Math. Methods Appl. Sci., 35, no. 11, 1321–1334 (2012)147. Eridani and Y. Sawano, Fractional integral operators in generalized Morrey spaces defined on metric measure spaces, Proc. A. Razmadze Math.
Inst., 158, 13–24 (2012)148. H, Gunawan, E. Nakai, Y. Sawano and H. Tanaka, Generalized Stummel
class and Morrey spaces, Publ. Inst. Math. (Beograd) (N.S.), 92 (106),
127–138 (2012)13

149. M. Izuki and Y. Sawano, Variable Lebesgue norm estimates for BMO
functions, Czechoslovak Math. J., 62, no. 3, 717–727 (2012)
150. E. Nakai and Y. Sawano, Hardy spaces with variable exponents and generalized Campanato spaces, J. Funct. Anal., 262, no. 9, 3665–3748 (2012)151. L. Castro, S. Saitoh, Y. Sawano and A. Simoes, General inhomogeneous
discrete linear partial differential equations with constant coefficients on
the whole spaces, Complex Anal. Oper. Theory, 6, no. 1, 307–324 (2012)152. L. Castro, S. Saitoh, Y. Sawano and S.S. Anabela, Discrete linear differential equations, Analysis (Munich), 32, no. 3, 181–198 (2012)153. K. Morii and Y. Sawano, Lower bound for sharp constantsof Brézis-Gallouët-Wainger type inequalities in higher order critical Sobolev
spaces on bounded domains, Commun. Math. Anal., 12, no. 1, 1–16
(2011)
154. T. Iida, E. Sato, Y. Sawano and H. Tanaka, Weighted norm inequalities
for multilinear fractional operators on Morrey spaces, Studia Math., 205,
no. 2, 139–170 (2011)155. Y. Sawano, S. Sugano and H. Tanaka, Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces,
Trans. Amer. Math. Soc., 363, no. 12, 6481–6503 (2011)156. Y. Sawano, Pasting reproducing kernel Hilbert spaces, Jaen J. Approx.,3, no. 1, 135–141 (2011)157. H. Gunawan and Y. Sawano, Application of reproducing kernel Hilbert
spaces to a minimization problem with prescribed nodes, East Asian J.
Applied Math., 1, no. 4, 372–378 (2011)158. Y. Sawano, D. Yang, and W. Yuan, New applications of Besov-type andTriebel-Lizorkin-type spaces, J. Math. Anal. Appl., 363, no. 1, 73–85(2010)
159. W. Yuan, Y. Sawano and D. Yang, Decompositions of Besov-Hausdorff
and Triebel-Lizorkin-Hausdorff spaces and their applications, J. Math.
Anal. Appl., 369, no. 2, 736–757 (2010)160. Y. Sawano, Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces on
domains in Rn , Math. Nachr., 283, no. 10, 1456–1487 (2010)
161. M. Kobayashi and Y. Sawano, Molecular decomposition of the modulation
spaces, Osaka Math. J., 47, 1–25 (2010)
162. Y. Sawano, M. Yamada and S. Saitoh, Singular integral inequalities andnatural regularizations, Math. Inequal. Appl., 13, no. 2, 289–303 (2010)14163. Y. Sawano, Brézis-Gallouët-Wainger type inequality for Besov-Morrey
spaces, Studia Math., 196, no. 1, 91–101 (2010)
164. K. Morii, T. Sato, Y. Sawano and H. Wadade, Sharp constantsof Brézis-Gallouët-Wainger type inequalities with a double logarithmic
term on bounded domains in Besov and Triebel-Lizorkin spaces, Boundary
Value Problems, 2010, Article ID 584521, 38 pages (2010)
165. Y. Sawano, Maximal operator for pseudo-differential operators with homogeneous symbols, Michigan Math. J., 59, no. 1, 119–142 (2010)
166. M. Izuki and Y. Sawano, The Haar wavelet characterization of weighted
Herz spaces and greediness of the Haar wavelet basis, J. Math. Anal.
Appl., 362, no. 1, 140–155 (2010)
167. K. Morii, T. Sato and Y. Sawano, Certain identities on derivatives of radialhomogeneous and logarithmic functions, Commun. Math. Anal., 9, no. 2,
51–66 (2010)
168. S. Gala and Y. Sawano, Wavelet characterization of the pointwise multiplier space Ẋr , Funct. Approx. Comment. Math., 43 vol. 2, 109–116(2010)
169. Y. Sawano, Modulation Spaces with Aloc
∞ -Weights, Cubo, 12, no. 3, 179–
194 (2010)170. Y. Sawano and H. Tanaka, Besov-Morrey spaces and Triebel-LizorkinMorrey spaces for non-doubling measures, Math. Nachr., 282, no. 12,
1788–1810, (2009).
171. Y. Sawano and H. Tanaka, Predual spaces of Morrey spaces with nondoubling measures, Tokyo J. Math., 32, no. 2, 471–486, (2009).
172. H. Gunawan, Y. Sawano and I. Sihwaningrum, Fractional integral operators in nonhomogeneous spaces, Bull. Aust. Math. Soc., 80, no. 2,
324–334, (2009).
173. Y. Sawano, A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey
spaces, Acta Math. Sin. (Engl. Ser.), 25, no. 8, 1223–1242, (2009).
174. Y. Sawano, S. Sugano and H. Tanaka, Identification of the image of Morrey
spaces by the fractional integral operators, Proc. A. Razmadze Math.
Inst., 149, 87–93, (2009).
175. Y. Sawano, Truncation errors of the logalithmic potential operators, Proc.
A. Razmadze Math. Inst., 150, 115–119, (2009).
176. M. Izuki and Y. Sawano, Wavelet bases in the weighted Besov and TriebelLizorkin spaces with Aploc -weights, J. Approx. Theory, 161, no. 2, 656–
673, (2009).

15

177. Y. Sawano, S. Sugano and H. Tanaka, A note on generalized fractional integral operators on generalized Morrey spaces, Boundary Value Problems,
2009, Article ID 835865, 18 pages, (2009).
178. M. Izuki and Y. Sawano, Greedy bases in weighted modulation spaces,
Nonlinear Anal., 71, no. 12, e2045–e2053, (2009).
179. Y. Sawano and S. Shirai, Compact commutators on Morrey spaces with
non-doubling measures, Georgian Math. J., 15, no. 2, 353–376 (2008)
180. Y. Sawano, Generalized Morrey spaces for non-doubling measures, Nonlinear Differential Equations Appl., 15, no. 4–5, 413–425 (2008)
181. Y. Sawano, Morrey spaces with non-doubling measures II, J. Indones.
Math. Soc., 14, no. 2, 121–152 (2008)
182. Y. Sawano, Wavelet characterization of Besov-Morrey
and Triebel-Lizorkin-Morrey spaces, Funct. Approx. Comment. Math.,
38, part 1, 93–107 (2008)s183. Y. Sawano, Weighted modulation space Mp,q(w) with w ∈ Aloc
∞ , J. Math.
Anal. Appl., 345, no. 2, 615–627 (2008)

184. Y. Sawano and T. Yoneda, Quarkonial decomposition suitable forfunctional-differential equations of delay type, Math. Nachr., 281, no. 12,
1810–1822 (2008)
185. Y. Sawano, H. Fujiwara and S. Saitoh, Real inversion formulas of the
Laplace transform on weighted function spaces, Complex Anal. Oper.
Theory, 2, no. 3, 511–521 (2008)
186. H. Fujiwara, T. Matsuura, S. Saitoh and Y. Sawano, Real inversion of
the Laplace transform in numerical singular value decomposition, J. Anal.
Appl., 6, no. 1, 55–68 (2008)
187. Y. Sawano and H. Tanaka, The John-Nirenberg type inequality for nondoubling measures, Studia Math., 181, no. 2, 153–170 (2007)
188. Y. Sawano and H. Tanaka, Sharp maximal inequalities and commutators
on Morrey spaces with non-doubling measures, Taiwanese J. Math., 11,
no. 4, 1091–1112 (2007)
189. Y. Sawano and H. Tanaka, Decompositions of Besov-Morrey spaces andTriebel-Lizorkin-Morrey spaces, Math. Z., 257, no. 4, 871–905 (2007)s190. Y. Sawano, Atomic decomposition for the modulation space Mp,q
with
0 < p, q ≤ ∞, s ∈ R, Proc. A. Razmadze Math. Inst., 145, 63–68 (2007)

191. Y. Sawano and T. Yoneda, On the Young theorem for amalgams and Besov
spaces, Int. J. Pure Appl. Math., 36, no. 2, 199–208 (2007)16192. Y. Sawano, lq -valued extension of the fractional maximal operators fornon-doubling measures via potential operators, Int. J. Pure Appl. Math.,
26, no. 4, 505–523 (2006)
193. Y. Sawano, A vector-valued sharp maximal inequality on Morrey spaces
with non-doubling measures, Georgian Math. J., 13, no. 1, 153–172(2006)
194. Y. Sawano and H. Tanaka, Equivalent norms for the Morrey spaces with
non-doubling measures, Far East J. Math. Sci. (FJMS), 22, no. 3, 387–
404 (2006)
195. Y. Sawano, T. Sobukawa and H. Tanaka, Limiting case of the boundedness of fractional integral operators on nonhomogeneous space, J. Inequal.
Appl., 2006, Art. ID 92470, 16 pages (2006)
196. Y. Sawano and H. Tanaka, Morrey spaces for non-doubling measures, Acta
Math. Sin. (Engl. Ser.), 21, no. 6, 1535–1544 (2005)
197. Y. Sawano, Sharp estimates of the modified Hardy-Littlewood maximal
operator on the nonhomogeneous space via covering lemmas, Hokkaido
Math. J., 34, no. 2, 435–458 (2005)

17

1.2

査読付きの会議報告書

1. D.I. Hakim and Y. Sawano, On the boundedness of certain elliptic operators in generalized Morrey spaces, Sûrikaiseki Kôkyûroku Bessatsu, 70,
Res. Inst. Math. Sci. (RIMS), Kyoto 131–148 (2018)
2. D.I. Hakim, S. Nakamura and Y. Sawano,
Weighted Morrey spaces–complex interpolation and the boundedness ofthe Hardy-Littlewood maximal operator, Sûrikaiseki Kôkyûroku Bessatsu,
65, Res. Inst. Math. Sci. (RIMS), Kyoto, 109–140 (2017)
3. Y. Sawano, Morrey spaces from various points of view, In: Rodino L,
Toft J. (eds) Mathematical Analysis and Applications–Plenary Lectures,
ISAAC 2017, Springer Proceedings in Mathematics & Statistics, 262.
Springer, Cham, 139–160 (2017)
4. Y. Sawano, Pasting reproducing kernel Hilbert spaces. New trends inanalysis and interdisciplinary applications, Trends Math. Res. Perspect.,
Birkhäuser/Springer, Cham, 401–407 (2017)
5. S. Saitoh and Y. Sawano, Generalized reproducing kernels and generalized delta functions. New trends in analysis and interdisciplinary applications, Trends Math. Res. Perspect., Birkhäuser/Springer, Cham, 395–400(2017)
6. Y. Sawano, An observation of the subspace of S ′ , Generalized functions
and Fourier Analysis, “Operator Theory: Advances and Applications”,
260, Adv. Partial Diff. Equ. (Basel), Birkhäuser/Springer Cham, 185–
192 (2017)
7. Y. Sawano and K. Yabuta, Weighted estimates for fractional type
Marcinkiewicz integral operators associated to surfaces, Some topics inharmonic analysis and applications, Adv. Lect. Math. (ALM), 34, Int.
Press, Somerville, MA, 331–367 (2016)
8. Y. Sawano, The Riesz potential operator Iα of constant order from the
Hardy spaces H p(·) (Rn ) with variable exponent to generalized Campanato
spaces Lϕ,1,α (Rn ), Banach and function spaces IV (ISBFS 2012), Yokohama Publ., Yokohama, 231–250 (2014)
9. Y. Sawano, S. Sugano and H. Tanaka, A bilinear estimate for commutatorsof fractional integral operators, Potential theory and its related fields,
Sûrikaiseki Kôkyûroku Bessatsu, B43, Res. Inst. Math. Sci. (RIMS),
Kyoto, 155–170 (2013)
10. M. Izuki, E. Nakai and Y. Sawano, Hardy spaces with variable exponent,
Harmonic analysis and nonlinear partial differential equations,Sûrikaiseki Kôkyûroku Bessatsu, B42, Res. Inst. Math. Sci. (RIMS),
Kyoto, 109–136 (2013)18

11. M. Izuki, E. Nakai and Y. Sawano, The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent, Harmonic analysis andnonlinear partial differential equations, Sûrikaiseki Kôkyûroku Bessatsu,
B42, Res. Inst. Math. Sci. (RIMS), Kyoto, 51–94 (2013)
12. L.P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada and M. Yamada, Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels, Inequalities and applications 2010,
Internat. Ser. Numer. Math., 161, Birkhäuser/Springer, Basel, 87–101(2012)
13. Y. Sawano, S. Sugano and H. Tanaka, Olsen’s inequality and its applications to Schrödinger equations, Harmonic analysis and nonlinear partial
differential equations, Sûrikaiseki Kôkyûroku Bessatsu, B26, Res. Inst.
Math. Sci. (RIMS), Kyoto, 51–80 (2011)
14. M. Izuki, Y. Sawano and H. Tanaka, Weighted Besov-Morrey spaces andTriebel-Lizorkin spaces, Sûrikaiseki Kôkyûroku Bessatsu, B22, Res. Inst.
Math. Sci. (RIMS), Kyoto, 21–60 (2010)
15. Y. Sawano, Atomic decomposition of Morrey spaces, Proceedings of the
5th SEAMS-GMU, International Conference on Mathematics and its Applications, 125–132 (2008)
16. H. Fujiwara, S. Saitoh, T. Matsuura and Y. Sawano, Numerical real inversion of the Laplace transform by using a high-accurate numerical method,
ISAAC 2007 Proceedings, 574–583 (2007)

19

2

口頭発表

2.1

国内外講演

1. “A relation between the Kantrovitch operator and the Hardy–Littlewood
maximal operator ”, 日本数学会 2019 年度年会, 東京, (2019)
2. “A non-dense subspace of Mpq ”, 日本数学会 2019 年度年会, 東京, (2019)
3. “Elliptic differential operators with onn-smooth coefficients in uniformly
local L2 spaces ”, 日本数学会 2019 年度年会, 東京, (2019)
4. “Interpolation of Morrey spaces for general parameters”, International
Conference on Function Spaces, ポーランド (2018)
5. “Decomposition of Morrey spaces ”, 日本数学会 2017 年度年会, 東京 (2017)
6. “Complex interpolation of Morrey spaces ”, 日本数学会 2017 年度年会, 東京 (2017)
7. “Fourier transform and Morrey spaces ”, 日本数学会 2017 年度年会, 東京(2017)
8. “Interpolation of diamond Morrey spaces”, 4th East Asian Conference on
Harmonic Analysis and Applications, 韓国 (2016)
9. “Interpolation of Morrey spaces”, ザンジャン大学 数学セミナー, イラン(2015)
10. “A phase decomposition formula”, ISSAC CONFERENCE 2015, マカオ(2015)
11. “Morrey spaces for non-doubling measures”, 厦門大学 解析セミナー, 中国, (2014)
12. “Decompositions of Morrey spaces”, 厦門大学 解析セミナー, 中国, (2014)
13. “Littlewood-Paley theory and Gagliardo-Nirenberg inequalities”, AIMS 国
際会議, スペイン (2014)
14. “Orlicz-Hardy spaces and their duals”, 北京師範大学 関数空間とその応用の討論班, 中国 (2013)
15. “A new framework for generalized Besov-type and Triebel-Lizorkin-type
spaces”, The Erwin Schrödinger International Institute for Mathematical
Physics (Session ESI12), オーストリア (2012)
16. “Hardy spaces with variable exponents”, ザンジャン大学 数学セミナー,
イラン (2012)20

17. “Hardy spaces with variable exponents and generalized Campanato spaces”,
アラバマ大学 SEAM28 2012, アメリカ (2012)
18. “Hardy spaces with variable exponents and generalized Campanato spaces”,
プリンストン大学 解析セミナー, アメリカ (2012)
19. “Morrey spaces for non-doubling measures”, 浙江工科大学数学セミナー,
中国 (2012)
20. “Olsen’s inequalities and their applications”, 浙江教育大学, 中国 (2012)
21. “Hardy spaces with variable exponents and generalized Campanato spaces”,
浙江大学数学セミナー, 中国 (2012)
22. “Hardy spaces with variable exponents and generalized Campanato spaces”,
FSDONA2011, ドイツ (2011)
23. “Morrey spaces for non-doubling measures”, ISSAC CONFERENCE 2011,
ロシア (2011)
24. “Morrey spaces for non-doubling measures”, Operators in Morrey TypeSpaces and Applications, トルコ (2011)
25. “Brézis-Gallouët-Wainger type inequalities in various function spaces”,
Mini-conference on harmonic analysis, アメリカ (2009)
26. “Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces”,
ポハン大学 Harmonic Analysis and its Applications at Pohang, 韓国 (2009)
27. “A Note on the Olsen inequality”, 北京師範大学 関数空間とその応用の討論班, 中国 (2009)
28. “Brézis-Gallouët-Wainger type inequalities in various function spaces”, 北京師範大学 関数空間とその応用の討論班, 中国, (2009)
29. “New phase decomposition formula and its applications”, Harmonic analysis and partial differential equations with applications, 中国 (2009)
30. “A note on Olsen’s inequality”, Analysis seminar, Geogia Institute of Technology, アメリカ (2008)
31. “Maximal operator for pseudo-differential operators with homogeneous
symbols Mini-conference on harmonic analysis”, アメリカ (2008)
32. “Modulation spaces with A∞
loc weights”, WCNA2008 (World Congress ofNon-linear Analysis), アメリカ (2008)
33. “Modulation spaces with A∞
loc weights”, Second conferenceon pseudo-differential operators and related topics, スウェーデン (2008)21

34. “Fractional integral operators for general measures µ”, 8th International
Conference on Harmonic Analysis and Partial Differential Equations”, El
Escorial, Madrid (Spain) June 16-20, 2008, スペイン (2008)
35. “Morrey spaces for non-doubling measures”, SEAMS2007 研究集会, インドネシア (2007)
36. “Decompositions for the Besov-Morrey spaces and the Triebel-LizorkinMorrey spaces”, SEAMS2007 研究集会, インドネシア (2007)
37. “Decompositions of the Besov-Morrey spaces
and the Triebel-Lizorkin-Morrey spaces”, Jena 大学解析学セミナー, ドイ
ツ (2007)
38. “Sharp estimate of the modified maximal operator”, Spring School on
Analysis での short communication, チェコ (2007)
39. “Morrey spaces for non-doubling measures”, 21st MINI-CONFERENCEIN HARMONIC ANALYSIS, アメリカ (2006)
40. “Morrey spaces for non-doubling measures”, ICM informal seminar, スペ
イン (2006)
41. “Fractional integral operator for general measure”, Third International
Conference of Applied Mathematics, ブルガリア (2006)
42. “Sharp maximal inequalities and commutators on Morrey spaces with nondoubling measures”, Third International Conference of Applied Mathematics, ブルガリア (2006)
43. “Morrey spaces for non-doubling measures”, Barcelona University, Seminari Analisi, スペイン (2005)

2.2

主要な招待講演

1. “Morrey spaces ”, インドネシア スラバヤ ICoMCos(オンライン)
2. “A thought on generalized Morrey spaces”, OTHA-2019, ロシア (2019)
3. “Interpolation of Morrey spaces”, 2018 Beijing Conference on Harmonic
Analysis and its Applications, 中国 (2018)
4. “Interpolation of Morrey spaces”, OTHA-2018, ロシア (2018)
5. “Morrey spaces–Introduction”, 広島大学談話会, 広島 (2017)
6. “Introduction of Morrey spaces”, ISAAC 国際会議, スウェーデン (2017)
7. “Interpolation of Morrey spaces”, Banach spaces and operator theory withapplications, ポーランド (2017)22

8. “Interpolation of diamond Morrey spaces”, Harmonic Analysis and Applications at Beijing, 中国 (2016)
9. “Morrey 空間の複素補間について”, 京都大学数学教室談話会, 京都 (2015)
10. “Hardy spaces with variable exponents and generalized Campanato spaces”,
Recent Advances in Variable Exponent Spaces and Non-linear Problems,
AMS Sectional Meeting, ポルトガル (2015)
11. “My Japanese book, Theory of Besov spaces, including a remark on thespace S ′ /P”, ニコルスキー生誕 110 周年研究集会, ロシア (2015)
12. “An introduction to function spaces”, 城崎新人セミナー, 兵庫 (2014)
13. “Hardy spaces with variable exponents”, 43 回イラン数学会, イラン (2012)
14. “Real Inversion Formulas of the Laplace Transform on Weighted Function
Spaces”, ラプラス変換の逆問題への応用, National Institute of Mathematical Science, 韓国 (2011)
15. “Singular integral inequalities and natural regularizations”, Taiwan-Japan
Joint Workshop on Inverse Problems, 台湾 (2010)
16. “Sharp estimates of the modified Hardy-Littlewood maximal operator on
the nonhomogeneous space via covering lemmas”, バンドン工科大学解析セミナー, インドネシア (2011)
17. “Olsen’s inequality and its applications to Schrödinger equations”, 京都大学研究集会 調和解析と偏微分方程式, 京都 (2010)
18. “Morrey spaces for non-doubling measures”, Mathematics colloquim at
Macqarie, オーストラリア, (2010)
19. “Maximal operator for pseudo-differential operators with homogeneous
symbols”, 京都大学談話会, 京都 (2009)
20. “Morrey spaces for non-doubling measures”, SEAMS 研究集会, インドネ
シア (2007)
21. “Non-doubling measure と Morrey 空間に関して”, 日本数学会特別講演, 東京 (2006)

2.3

そのほかの招待講演

1. “Introduction to Morrey spaces ”, Harmonic and Spectral Analysis 2020
プラハ (オンライン)
2. “An obsevation of the atomic decomposition of Hardy spaces with variable exponent”, Harmonic Analysis and Applications at Tokyo 2017, 東京(2017)

23

3. “Morrey Spaces–complex interpolations and weighted theory”, Harmonic
Analysis and Applications at Matsumoto, 長野 (2016)
4. “Morrey Spaces–complex interpolations and weighted theory”, 京都大学
研究集会「調和解析と非線形偏微分方程式」, 京都 (2016)
5. “Three remarks on Morrey spaces and related function spaces”, 2nd East
Asian Conference in Harmonic analysis and Applications, 中国 (2014)
6. “An introduction to function spaces”, 福岡複素解析セミナー, 福岡 (2014)
7. “Morrey spaces for non-doubling measures”, 1st East Asian Conference inHarmonic analysis and Applications, 韓国 (2013)
8. “An observation on Hardy spaces”, Harmonic Analysis and its Application
at Tokyo 2012, 東京 (2012)
9. “Morrey spaces with non-doubling measures II”, Harmonic Analysis andits Application at Tokyo 2011, 東京 (2011)
10. “New phase decomposition formula and its applications”, 国立中央大学解析セミナー, 台湾 (2010)
11. “A note on Morrey spaces”, Malang 大学解析セミナー, インドネシア (2009)
12. “分数冪積分作用素の有界性について”, 齋藤三郎教授の最終講義, 群馬 (2009)
13. “Maximal operator for pseudo-differential operators with homogeneous
symbols”, Harmonic analysis and applications at Tokyo 2008, 東京 (2008)
14. “ラプラス変換の実逆変換への再生核空間の応用”, 京都大学研究集会「再生核の応用についての研究」, 京都 (2008)
15. “Real Inversion Formulas of the Laplace Transform on Weighted Function
Spaces”, 京都大学研究集会「再生核の応用についての研究」, 京都 (2008)
16. “Various boundedness of fractional integral operators”, 実函数論・函数解
析学合同シンポジウム, 神奈川 (2008)
17. “Atomic decomposition for the weighted Morrey spaces”, 京都大学研究集会「調和解析と偏微分方程式」, 京都 (2007)
18. “Functional differential equations of a type similar to f ′ (x) = 2f (2x+1)−
2f (2x − 1) and its application to Poisson’s equation”, 京都大学研究集会「関数方程式の解のダイナミクスと数値シミュレーション」, 京都 (2006)
19. “Morrey spaces for non-doubling measures II”, 実解析シンポジウム, 東京(2006)
20. “doubling 条件を満たさない測度上の Morrey 空間に関して”, 京都大学研究集会「調和解析と非線形偏微分方程式」, 京都 (2005)

24

2.4

連続講義, 集中講義

1. “カールソンのフーリエ級数の定理”, 埼玉大学集中講義, さいたま, 2 単位認
定, (2021)
2. “Besov 空間，Triebel-Lizorkin 空間入門”, 東京都立大学集中講義, 東京, 2
単位認定, (2021)
3. “Morrey spaces”, コム大学集中講義, イラン, 単位認定はなし (2019)
4. “Generalized Morrey spaces ”, バンドン工科大学連続講義, インドネシア,
単位認定はなし, (2018)
5. “Hardy-Littlewood の極大作用素について”, 広島大学集中講義, 広島, 1 単位認定, (2017)
6. “斉次 Besov 空間について”, 京都大学集中講義, 京都, 2 単位認定, (2015)
7. “モレー空間について”, ザンジャン大学連続講義, イラン, 単位認定はなし,(2015)
8. “モレー空間について”, モンゴル国立大学連続講義, モンゴル, 単位認定はなし, (2015)
9. “モレー空間について”, 山形大学集中講義, 山形, 2 単位認定, (2014)
10. “An introduction of Morrey spaces”, ユーラシア中央大学集中講義, カザフ
スタン, 2 単位認定 (2013)
11. “Theory of Besov spaces”, 京都大学連続講義, 京都, 単位認定はなし, (2009)
12. “Nonhomogeneous 空間上の解析の基礎に関して”, 広島大学連続講義, 広島,
単位認定はなし, (2007)
13. “Carleson の定理の証明について”, 首都大学東京集中講義, 東京, 1 単位認
定, (2008)
14. “増大条件を満たしている Radon 測度を備えたユークリッド空間のLittlewood-Paley 理論について”, 広島大学連続講義, 広島, 単位認定はなし,(2007)
15. “Elementary facts for non-doubling analysis”, workshop nonhomogeneous
space, Bandung 大学連続講義, インドネシア, 単位認定はなし, (2007)

2.5

研究者のための入門的講義

1. 「研究者としてやっていくためには．回顧と分析」, 日本学術振興会特別研究員 (DC・PD) への応募に関する説明会プログラム, 首都大学東京 (東京),(2014)

25

2. 「研究者としてやっていくためには」(英語にて講演), Ahi Evran 大学講演会, Ahi Evran 大学 (トルコ), (2014)
3. 「研究者としてやっていくためには．回顧と分析」, 日本学術振興会特別研究員 (DC・PD) への応募に関する説明会プログラム, 首都大学東京 (東京),(2013)

26

3

研究のための海外渡航

3.1

共同研究

1. トルコ (1 週間), キルチェヒール大学 (2018)2. 中国 (2 週間), 北京師範大学 (2015)
3. 中国 (1 週間), 厦門大学 (2014)
4. トルコ (2 週間), キルチェヒール大学 (2014)
5. インドネシア (1 週間), バンドン工科大学 (2013)

3.2

学会参加

1. 「El Escorial 2012」(1 週間), スペイン, ホテル El Escorial (2012)
2. 「El Escorial 2018」(1 週間), スペイン, ホテル El Escorial (2018)
3. 「Thematic program on new trends in harmonic analysis」(1 週間), カナ
ダ, Fields 研究所 (2008)

27

書籍

4

1. ベゾフ空間論, 日本評論社, 総ページ数 440 ページ (2011) の改訂版,
出版計画中
2. G. Di Fazio, D.I. Hakim and Y. Sawano, Morrey Spaces. Vol. I. Introduction and applications to integral operators and PDE’s. Monographs andResearch Notes in Mathematics. CRC Press, Boca Raton, FL, 2020. 479
pp. ISBN: 978-1-4987-6551-0; 978-0-429-08592-5 46-02 (2020)
3. G. Di Fazio, D.I. Hakim and Y. Sawano, Morrey spaces. Vol. II. Introduction and applications to integral operators and PDE’s. Monographs
and Research Notes in Mathematics. CRC Press, Boca Raton, FL, 2020.
409 pp. ISBN: 978-0-367-45915-4; 978-1-00-302907-6 46-02
4. Y. Sawano, Theory of Besov spaces, Development of Mathematics 56,
Springer, 総ページ数 964 ページ (2018)
5. S. Saitoh and Y. Sawano, Theory of reproducing kernel Hilbert spaces,
Development of Mathematics 44, Springer, 総ページ数 460 ページ (2016)

4.1

教科書

1. 澤野嘉宏, 早わかりルベーグ積分, 日本評論社, 総ページ数 210 ページ (2015)
2. 澤野嘉宏, 早わかりベクトル解析, 日本評論社, 総ページ数 195 ページ (2014)
3. 澤野嘉宏, 調和解析への招待，サイエンス社，168 ページ

4.2

数学一般の書籍 (共同執筆)

1. 澤野嘉宏, 「調和解析」特集名：現代数学の眺め，サイエンス社，pp. 45–51,
2021 年 6 月号
2. 澤野嘉宏, 「知っておくべき解析学のことば (全微分とアーベル変形の説明)」
日本評論社, pp. 20–22, 2014 年 4 月号,
3. 澤野嘉宏, 「ルベーグ測度」数学セミナー, pp. 13–19, 2010 年 9 月号
4. 澤野嘉宏, 和田出秀光, 「整数問題 1 題」, 数学セミナー「エレガントな解法を求む」のコーナー 2010 年 8 月号 6 ページにて出題, 2010 年 11 月号 94
ページにて採点, 採点結果の発表および解説
5. 澤野嘉宏, 「この定理が美しい」, 解説文「複素解析の入り口」, 数学書房,
pp. 80–89, 2009 年
6. 澤野嘉宏, 「平面幾何学の問題 1 題」, 数学セミナー「エレガントな解法を求む」のコーナー 2009 年 6 月号 6 ページにて出題, 2009 年 9 月号 100 ペー
ジにて採点, 採点結果の発表および解説
7. 澤野嘉宏, 解説文「Hölder の不等式」, 数学セミナー, 総ページ数 5 ページ,2009 年
284.3

教科書の書評

1. 澤野嘉宏, 藤原毅夫 編著：数学解析第一編, 微分積分学 第 1 巻 改定新編, 総ページ数 3 ページ (2017)4.4

専門書の書評

1. 澤野嘉宏, Loukas Grafakos: Classical Fourier Analysis, 2nd Ed. & Modern
Fouriera Analysis, 2nd Ed. (Grad. Texts in Math.,249 & 250), Springer
2008, 2009. xvi+489 ページ, xv+521 ページ, 日本数学会, 145–148 (2011)

4.5

解説書

1. 澤野嘉宏, A note on a maximal dyadic sum operator, 総ページ数 56 ペー
ジ調和解析セミナーの報告集の別冊, (2009)

29

5

受賞

2009 年 日本数学会賞建部賢弘賞奨励賞

30

エディター6

1. “Journal of Mathematical Science”, 2021 年 10 月より現在に至る
2. “Bulletin of Malaysian Mathematical Society”, 2021 年 3 月より現在に至る
3. “Journal of Fourier Analysis and Applications”, 2019 年 7 月より現在に至る
4. “Advances in Operartor Theory”, 2019 年 1 月より 2020 年 5 月
5. “Journal of Mathematical Inequalities”, 2019 年 1 月より現在に至る
6. “Tokyo Journal of Mathematics”, 2016 年 4 月より 2018 年 3 月および 2019
年 4 月より 2020 年 3 月おより 2021 年 4 月より現在に至る
7. “日本数学会雑誌「数学」”, 2015 年 7 月より 2017 年 6 月
8. “Azerbaijan Journal of Mathematics”, 2014 年 4 月より 2020 年 3 月
9. “Journal of function spaces”, 2014 年 12 月より現在に至る
10. “Journal of function spaces, special issue”, 2013 年 7 月より 2014 年 10 月
11. “Journal of Analysis and Applications”, 2013 年 4 月より現在に至る
12. “World Scientific Journal”, 2013 年 4 月より 2016 年 4 月

7学位授与 (主査, 副査, 国内, 国外)

7.1

修士号

1. 主査 6 名 (首都大学東京 6 名)
2. 副査 20 名 (京都大学 1 名, 首都大学東京 16 名，中央大学 3 名)

7.2

博士号

1. 主査 4 名
• 首都大学東京, 論文博士 1 名, 課程博士 2 名※課程博士取得者のうち 1
名は短縮学位を取得．
• 中央大学, 課程博士 1 名※課程博士取得者のうち 1 名は短縮学位を取得．
2. 副査 6 名 (茨城大学 5 名，International Black Sea University グルジア, 課
程博士 1 名)31

研究委託指導 (国外)8

1. パキスタン・チュビリシー大学

1名

2. イラン・ザンジャン大学(2016 年度)

1名

(2015 年度)

講義担当科目9

1. 「微分積分およびその演習」(学習院大学, 京都大学, 首都大学東京)
2. 「初等整数論」(学習院大学)
3. 「ルベーグ積分およびその演習」(京都大学, 首都大学東京)
4. 「確率論」(明治大学, 首都大学東京)
5. 「常微分方程式」(学習院大学, 明治大学, 首都大学東京)
6. 「複素解析」(学習院大学, 首都大学東京)
7. 「関数解析」(学習院大学, 京都大学, 首都大学東京)
8. 「フーリエ解析」(京都大学, 首都大学東京, 広島大学)

10

社会貢献 (エディターを除く)

10.1

オープンキャンパス

1. 「ε-δ 論法について」(30 分の講義× 3), 首都大学東京, 2019 年 11 月予定
2. 「調和解析入門」(40 分の講義), 首都大学東京 (2018)
3. 「紙を使って放物線を作ろう」(10 分の講義), 首都大学東京 (2017)
4. 「不等式入門, 最大最小問題へのアプローチ」(20 分の講義), 首都大学東京(2016)
5. 「不等式入門, 最大最小問題へのアプローチ」(20 分の講義), 首都大学東京(2015)
6. 「測度 0 の図形とその性質」(50 分の講義), 高校生のための数学–夏の学校,
首都大学東京 (2014)
7. 「不等式入門」(30 分の講義), 首都大学東京 (2012)
8. 「フェルマーの最終定理について」 (30 分の講義) 京都大学 (2011)

10.2

オープンユニバーシティー

1. ルベーグ積分入門 (90 × 4 コマの講義) 首都大学東京, (2014)

32

11

その他

1. Mathreview の批評子 2006 年より現在に至る
2. 調和解析中央大セミナー組織委員 2014 年より現在に至る

33