bluuebunny/crossref_metadata_2025 huggingface dataset:
Evaluation of oceanic and atmospheric trajectory schemes in the
TRACMASS trajectory model v6.0
Authors: Döös Kristofer , Jönsson Bror , Kjellsson Joakim
Published: September 2016

Abstract. Two different trajectory schemes for oceanic and atmospheric general circulation models are compared in two different experiments. The theories of the two trajectory schemes are presented showing the differential equations they solve and why they are mass conserving. One scheme assumes that the velocity fields are stationary for a limited period of time and solves the trajectory path from a differential equation only as a function of space, i.e. "stepwise stationary". The second scheme uses a continuous linear interpolation of the fields in time and solves the trajectory path from a differential equation as a function of both space and time, i.e. "time-dependent". A special case of the "stepwise-stationary" scheme, when velocities are assumed constant between GCM outputs, is also considered, named "fixed GCM time step". The trajectory schemes are tested "off-line", i.e. using the already integrated and stored velocity fields from a GCM. The first comparison of the schemes uses trajectories calculated using the velocity fields from an eddy-resolving ocean general circulation model in the Agulhas region. The second comparison uses trajectories calculated using the wind fields from an atmospheric reanalysis. The study shows that using the "time-dependent" scheme over the "stepwise-stationary" scheme greatly improves accuracy with only a small increase in computational time. It is also found that with decreasing time steps the "stepwise-stationary" scheme becomes more accurate but at increased computational cost. The "time-dependent" scheme is therefore preferred over the "stepwise-stationary" scheme. However, when averaging over large ensembles of trajectories the two schemes are comparable, as intrinsic variability dominates over numerical errors. The "fixed GCM time step" is found to be less accurate than the "stepwise-stationary" scheme, even when considering averages over large ensembles.
Regenerating Waste to Energy: A Scenario-Based Assessment of Lagos, Nigeria
Authors: Openjin Adenike , Pijawka K. David
Published: September 2016

This study uses scenario-based approaches to assess the regenerative capacity of transforming organic wastes into electric power for the City of Lagos, Nigeria. Lagos represents a rapidly growing city with a population of 21 million in a developing country where serious shortages are experienced in producing sufficient electric power. As in many developing countries, rapid urbanization has lead to mismanagement of solid waste disposal, illegal deposal methods, issues in landfill infrastructure, and inefficiencies in developing recycling industries and other regenerative systems. This paper examines the feasibility of regenerating organic waste into electricity by projecting the volume of methane gas that could have been harvested in two closed landfills and one still operating landfill. The analysis applies the United States Environmental Protection Agency Landfill Gas Emissions Model (U.S. EPA LandGEM) and Intergovernmental Panel on Climate Change (IPCC) models to measure waste to methane gas generation by developing data on organic waste capture, landfill physical characteristics and factors for methane production, and the quality of waste management. Utilizing existing conversion models, the methane gas amounts are assessed in terms of potential electricity generation. The study also projected the waste-to-energy production of three new proposed landfills in Lagos from 2017 to 2050 and found that methane-produced electricity could meet the later energy demands of the city.
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CHIRONOMID TYPES AT MUSÉUM NATIONAL D'HISTOIRE NATURELLE, PARIS (Meigen collection not included)
Authors: Ekrem Torbjørn
Published: September 2016

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Invasive fungal infection by Cunninghamella bertholletiae in a kidney transplant patient – a dramatic report
Authors: Campos Andreia , Santos Josefina , Santos Sofia , Freitas Cristina , Pimentel JP , Cabrita A. , Castro Henriques A.
Published: September 2016

Invasive infections caused by fungal species are uncommon. They are usually associated with poor outcomes. They usually occur in immunocompromised patients such as kidney transplant recipients. The identification of fungi in blood or in tissue culture is important to establish the correct diagnosis. Survival is conditioned by the degree of suspicion, early diagnosis and early initiation of appropriate therapy. The authors present a case of an invasive fungal infection by Cunninghamella bertholletiae in a renal transplant recipient.
Metabolic syndrome in patients with prostate cancer undergoing intermittent androgen-deprivation therapy
Authors: Mohammadzadeh Rezaei Mohammadali , Mohammadzadeh Rezaei Mohammadhadi , Ghoreifi Alireza , Feyzzadeh Kerigh Behzad
Published: September 2016

Introduction: The presence of metabolic syndrome in men with prostate cancer (PCa) undergoing androgen-deprivation therapy (ADT), especially intermittent type, has not been completely evaluated. The aim of this study is to evaluate metabolic syndrome in men with PCa undergoing intermittent ADT.

Methods: In this longitudinal study, we studied the prevalence of metabolic syndrome and its components in 190 patients who were undergoing intermittent ADT. The metabolic syndrome was defined according to the Adult Treatment Panel III criteria. All metabolic parameters, including lipid profile, blood glucose, blood pressures, and waist circumferences of the patients were measured six and 12 months after treatment.

Results: Mean age of the patients was 67.5 ± 6.74 years. The incidence of metabolic syndrome after six and 12 months was 6.8% and 14.7%, respectively. Analysis of various components of the metabolic syndrome revealed that patients had significantly higher overall prevalence of hyperglycemia, abdominal obesity, and hypertriglyceridemia in their six- and 12-month followups, but blood pressure has not been changed in the same period except for diastolic blood pressure after six months.

Conclusions: Although there was an increased risk of metabolic syndrome in patients receiving intermittent ADT, it was lower than other studies that treated the same patients with continuous ADT. Also it seems that intermittent ADT has less metabolic complications than continuous ADT and could be used as a safe alternative in patients with advanced and metastatic PCa.
Urothelial-based reconstructive surgery for upper- and mid-ureteral defects: Long-term results
Authors: Rosenzweig Barak , Mor Yoram , Erlich Tomer , Laufer Menachem , Winkler Harry , Kaver Issac , Ramon Jacob , Dotan Zohar A.
Published: September 2016

Introduction: Ureteral strictures can result in obstructive nephropathy and renal function deterioration. Surgical management of ureteral defects, especially in the proximal- and mid-ureter, is particularly challenging. Our purpose was to analyze the long-term outcomes of urothelial-based reconstructive surgery for upper- and mid-ureteral defects.

Methods: We conducted a retrospective analysis of a single tertiary centre’s database, including 149 patients treated for ureteral defects between 2001 and 2011. Thirty-one patients (21%) underwent complex urothelial-based surgical repairs for upper- and mid-ureter defects. Patients’ median age was 61 years. The mean length of the ureteral strictures was 2.5 cm, located in upper-, mid-ureter, or in between in 19 (61%), 10 (32%), and two (6%) patients, respectively. All patients were treated with a primary urothelial-based repair. Median followup time was 26 months. The primary outcome of the study was the long-term preservation of renal function and lack of clinical obstruction. The secondary endpoint of the study was the assessment of the intra- and postoperative complication rates.

Results: Most of the lesions were benign (22, 71%), while nine strictures (29%) were malignant. Seven patients (23%) suffered from postoperative complications, five of which were infectious. The median pre- and postoperative calculated glomerular filtration rates were 66 ml/min/1.72m2 and 64ml/min/1.72m2, respectively. Success rate was 84%, defined as lack of need for re-operation or kidney drainage at the last followup.

Conclusions: Upper- and mid-ureteral defects present a complex pathology necessitating experienced reconstructive surgical skills. Our data suggest good long-term results for primary urothelialbased reconstructions for these pathologies.
Ovarian vein thrombosis: A complication of percutaneous nephrolithotomy
Authors: Ho Louisa , Hall Grayson , Thomas Richard , Beiko Darren
Published: September 2016

The medical and surgical complications of percutaneous nephrolithotomy (PCNL) are well-known, including deep venous thrombosis. Ovarian vein thrombosis (OVT) is a rare, but potentially serious type of venous thrombosis that has not previously been reported as a complication of PCNL or ureteral stent placement. We report a case of OVT associated with ureteral stenting following a tubeless PCNL. This complication was successfully managed conservatively without any short- or long-term sequelae.
Is There Any Relationship between Mental Health and Driving Behavior of Taxi Drivers in Kerman?
Authors: Noori Hekmat Somayeh , Dehnavieh Reza , Norouzi Saeed , Bameh Ebrahim , Poursheikhali Atousa
Published: September 2016

Traffic accidents are the main reason of disability and the second reason of mortality in Iran. Therefore finding out the effective factors is vital. The aim of this study is to examine the relationship between mental health and taxi drivers’ behavior in Kerman. This is a cross-sectional descriptive research in which Manchester driving behavior questionnaire (MDBQ) and “general health questionnaire (GHQ)” were used. The questionnaires were distributed between 186 taxi drivers during February and March 2015. Our study was conducted in the province of Kerman in the east south of Iran. We used descriptive methods as well as t-tests, chi-square tests, and logit models for data analysis. The data analysis showed that the driving behavior of Kermanian taxi drivers is good (0.481±4.13) and the mental health situation of them is partly good (0.662±3.61). The Pearson’s correlation test showed overall driving behavior score is correlated positively with mental health score (r=0.83, P=0.000). Also there were positive correlations between all driving behavior dimensions and mental health dimensions at a level of significance of 0.005. The result of Chi-Square Test showed that there the younger drivers and who had less driving experience had higher mental health score. Single drivers and who had less education, which had faced with financial loss in their previous accidents, which had lose their driving license for a while, higher driving behavior score compared to the others (P<0.05). By some improvement actions in driver’s mental health, we can effect on their behavior. And by proper driving behaviors, we can avoid from some mortalities, disabilities and heavy costs on society.
Biduality in Spaces of Holomorphic Functions
Authors: Galindo Pablo , Maestre Manuel , Rueda Pilar
Published: September 2016

This paper contains characterizations of the bidual space of some closed subspaces of $\mathcal{H}_b(U)$, the space of holomorphic functions bounded type defined on an open subset $U$ of a Banach space $X$, where $U$ is either a bounded balanced open set or the whole space $X$.
A Fundamental Solution of N. Zeilon's Operator
Authors: Wagner Peter
Published: September 2016

In this paper, we resume earlier work of N. Zeilon and of J. Fehrman and derive an explicit re- presentation by elliptic integrals of a fundamental solution of the partial differential operator $\partial_1^3+\partial_2^3+\partial_3^3$.
Braided Endomorphisms of Cuntz Algebras
Authors: Conti Roberto , Fidaleo Francesco
Published: September 2016

We discuss sufficient conditions ensuring that certain endomorphisms of infinite factors arising from Cuntz algebras are braided. We analyse some explicit non-trivial examples associated to unitary solutions of quantum Yang-Baxter equations on a Hilbert space of dimension 2. In particular we show the existence of endomorphisms of index 2 associated to representations of Hecke algebras at a primitive fourth root of unity. In this case we compute the associated fusion rules. These fusion rules define a finitely generated *-semiring which is not finite. Such a picture seems to be closely related to the description of (the dual of) a deformation, at a fourth root of unity, of some compact matrix group. This could be of some interest for the investigation of quantum summetries naturally appearing in low-dimensional Quantum Field Theory.
Heat kernel estimates and functional calculi of $-b \Delta$
Authors: McIntosh Alan , Nahmod Andrea
Published: September 2016

We show that the elliptic operator ${\mathcal L} = - b(x) \Delta$ has a bounded $H^\infty$ functional calculus in $L^p(\boldsymbol R^n), 1 < p < \infty$, where $b$ is a bounded measurable complex-valued function with positive real part. In the process, we prove quadratic estimates for ${\mathcal L}$, and obtain bounds with fast decay and Hölder continuity estimates for $k_t(x,y) b(y)$ and its gradient, where $k_t(x,y)$ is the heat kernel of $-b(x) \Delta$. This implies $L^p$ regularity of solutions to the parabolic equation $\partial_t u + {\mathcal L} u = 0$.
Inverse limits of integral domains arising from iterated Nagata composition
Authors: Dobbs David E. , Fontana Marco
Published: September 2016

By iterating the type of pullback constructions in which $P^rVD$s arise by Nagata composition, we are led to study a class of inverse limits $A=\underleftarrow{\lim}A_n$ of integral domains indexed by $\boldsymbol N$. After identifying the prime spectrum, the localizations, and the integral closure of $A$, we then characterize when, i.a., such (typically infinite-dimensional) $A$ is a Prüfer domain, Bezout domain, divided domain, or $P^rVD$.
On the closure in $\overline M_g$ of smooth curves having a special Weierstrass point
Authors: Gatto Letterio
Published: September 2016

Let $\overline{wt(2)}$ be the closure in $\overline M_g$, the coarse moduli space of stable complex curves of genus $g \ge 3$, of the locus in $M_g$ of curves possessing a Weierstrass point of weight at least 2. The class of $\overline{wt(2)}$ in the group Pic($\overline M_g)\otimes \boldsymbol Q$ is computed. The computation heavily relies on the notion of "derivative" of a relative Wronskian, introduced in [15] for families of smooth curves and here extended to suitable families of Deligne-Mumford stable curves. Such a computation provides, as a byproduct, a simpler proof of the main result proven in [6].
Interpolation methods of constants and means with quasi-power function parameters
Authors: Fan Ming
Published: September 2016

The purpose of this paper is to describe the interpolation methods of constants and means with quasi-power function parameters in the sense of Brudnyi-Krugljak's K- and J-methods with the weighted Orlicz space parameters. As an application, the relationship of such methods with particular parameters and the complex methods for Banach spaces of Fourier type is sharpened.
Toeplitz operators on generalized Bergman-Hardy spaces
Authors: Lusky Wolfgang
Published: September 2016

We study the Toeplitz operators $T_f: H_2 \to H_2$, for $f \in L_\infty$, on a class of spaces $H_2$ which in- cludes, among many other examples, the Hardy and Bergman spaces as well as the Fock space. We investigate the space $X$ of those elements $f \in L_\infty$ with $\lim_j \|T_f-T_{f_j}\|=0$ where $(f_j)$ is a sequence of vector-valued trigonometric polynomials whose coefficients are radial functions. For these $T_f$ we obtain explicit descriptions of their essential spectra. Moreover, we show that $f \in X$, whenever $T_f$ is compact, and characterize these functions in a simple and straightforward way. Finally, we determine those $f \in L_\infty$ where $T_f$ is a Hilbert-Schmidt operator.
Deformation quantization via Fell bundles
Authors: Abadie Beatriz , Exel Ruy
Published: September 2016

A method for deforming $C^*$-algebras is introduced, which applies to $C^*$-algebras that can be described as the cross-sectional $C^*$-algebra of a Fell bundle. Several well known examples of non-commutative algebras, usually obtained by deforming commutative ones by various methods, are shown to fit our unified perspective of deformation via Fell bundles. Examples are the non-commutative spheres of Matsumoto, the non-commutative lens spaces of Matsumoto and Tomiyama, and the quantum Heisenberg manifolds of Rieffel. In a special case, in which the deformation arises as a result of an action of $\boldsymbol R^{2d}$, assumed to be periodic in the first $d$ variables, we show that we get a strict deformation quantization.
Pitt's theorem for operators between general Lorentz sequence spaces
Authors: López Molina J. A.
Published: September 2016

We characterize the pairs of general Lorentz sequence spaces $\ell^{u,v}(\nu),$ $\ell^{p,q}(\mu), 0 < u, v, p, q < \infty$ such that all continuous linear maps from the first space into the second one are compact.
On some semilinear equations of Schrödinger type
Authors: Agliardi Rossella , Mari Daniela
Published: September 2016

We study the initial value problem for some semilinear pseudo-differential equations of the form $\partial _tu + i\ H(x,D_x)u = F(u,\nabla u)$. The assumptions we make on $H$ are trivially satisfied by $\Delta$, thus our equations generalize Schrdinger type equations. A local existence theorem is proved in some weighted Sobolev spaces.
2-Generator arithmetic Kleinian groups III
Authors: Conder M. D. E. , Maclachlan C. , Martin G. J. , O'Brien E. A.
Published: September 2016

This paper forms part of the program to identify all the 2-generator arithmetic Kleinian groups. Here we identify all conjugacy classes of such groups with one generator parabolic and the other generator elliptic. There are exactly $14$ of these and exactly $5$ Bianchi groups in their commensurability class, namely $\mathrm{PSL}(2,{\mathcal O}_d)$ for $d=1,2,3,7$ and $15$. This complements our earlier identification of the $4$ arithmetic Kleinian groups generated by two parabolic elements.
Digital straight lines in the Khalimsky plane
Authors: Melin Erik
Published: September 2016

We consider the digital plane of integer points equipped with the Khalimsky topology. We suggest a digitization of straight lines such that the digitized image is homeomorphic to the Khalimsky line and a digitized line segment is a Khalimsky arc. It is demonstrated that a Khalimsky arc is the digitization of a straight line segment if and only if it satisfies a generalized version of the chord property introduced by Rosenfeld.
On weak holonomy
Authors: Alexandrov Bogdan
Published: September 2016

We prove that $\mathrm{SU}(n)$ ($n \ge 3$) and $\mathrm{Sp}(n)U(1)$ ($n \ge 2$) are the only connected Lie groups acting transitively and effectively on some sphere which can be weak holonomy groups of a Riemannian manifold without having to contain its holonomy group. In both cases the manifold is Kähler.
Total curvature and area of curves with cusps and of surface maps
Authors: Ekholm Tobias , Kutzschebauch Frank
Published: September 2016

A curvature-area inequality for planar curves with cusps is derived. Using this inequality, the total (Lipschitz-Killing) curvature of a map with stable singularities of a closed surface into the plane is shown to be bounded below by the area of the map divided by the square of the radius of the smallest ball containing the image of the map. This latter result fills the gap in Santaló's proof of a similar estimate for surface maps into $\mathbf{R}^n$, $n>2$.
Approach regions for $l^{p}$ potentials with respect to the square root of the Poisson kernel
Authors: Brundin Martin
Published: September 2016

{If} one replaces the Poisson kernel of the unit disc by its square root, then normalised Poisson integrals of $L^{p}$ boundary functions converge along approach regions wider than the ordinary nontangential cones, as proved by Rönning ($1\leq p<\infty$) and Sjögren ($p=1$ and $p=\infty$). In this paper we present new and simplified proofs of these results. We also generalise the $L^{\infty}$ result to higher dimensions.
A characterization of convex hypersurfaces in Hadamard manifolds
Authors: Erdogan Mehmet , Yilmaz Gülsen
Published: September 2016

The aim of this paper is to give a characterization of strictly convex hypersurfaces in a Hadamard manifold.
Characterizations of inner product spaces by means of norm one points
Authors: Mendoza José , Pakhrou Tijani
Published: September 2016

Let $X$ be a a real normed linear space of dimension at least three, with unit sphere $S_X$. In this paper we prove that $X$ is an inner product space if and only if every three point subset of $S_X$ has a Chebyshev center in its convex hull. We also give other characterizations expressed in terms of centers of three point subsets of $S_X$ only. We use in these characterizations Chebyshev centers as well as Fermat centers and $p$-centers.
Another way to say subsolution: the maximum principle and sums of Green functions
Authors: Laugesen R.S. , Watson N. A.
Published: September 2016

Consider an elliptic second order differential operator $L$ with no zeroth order term (for example the Laplacian $L=-\Delta$). If $Lu \leq 0$ in a domain $U$, then of course $u$ satisfies the maximum principle on every subdomain $V \subset U$. We prove a converse, namely that $Lu \leq 0$ on $U$ if on every subdomain $V$, the maximum principle is satisfied by $u+v$ whenever $v$ is a finite linear combination (with positive coefficients) of Green functions with poles outside $\overline{V}$. This extends a result of Crandall and Zhang for the Laplacian. We also treat the heat equation, improving Crandall and Wang's recent result. The general parabolic case remains open.
Stability for the periodic Camassa-Holm equation
Authors: Lenells Jonatan
Published: September 2016

We use integrability to prove the stability of smooth periodic solutions of the Camassa-Holm equation. In particular, the smooth periodic traveling wave solutions are shown to be orbitally stable.
Self-improving properties of generalized Poincaré type inequalities through rearrangements
Authors: Lerner Andrei K. , Pérez Carlos
Published: September 2016

We prove, within the context of spaces of homogeneous type, $L^p$ and exponential type self-improving properties for measurable functions satisfying the following Poincaré type inequality: 26733 \inf_{\alpha}\bigl((f-\alpha)\chi_{B}\bigr)_{\mu}^*\bigl(\lambda\mu(B)\bigr) \le c_{\lambda}a(B). 26733 Here, $f_{\mu}^*$ denotes the non-increasing rearrangement of $f$, and $a$ is a functional acting on balls $B$, satisfying appropriate geometric conditions. Our main result improves the work in [11], [12] as well as [2], [3] and [4]. Our method avoids completely the "good-$\lambda$" inequality technique and any kind of representation formula.
The Monge shuffle for two-power decks
Authors: Ledet Arne
Published: September 2016

We consider the so-called Monge shuffle for a deck with $2^k$ cards, and describe the permutation group generated by the two different Monge shuffles.
Short modules and almost noetherian modules
Authors: Bilhan G. , Smith P. F.
Published: September 2016

It is proved that, for any ring $R$, a right $R$-module $M$ has the property that, for every submodule $N$, either $N$ or $M/N$ is Noetherian if and only if $M$ contains submodules $K \supseteq L$ such that $M/K$ and $L$ are Noetherian and $K/L$ is almost Noetherian.
Schatten-von Neumann properties of bilinear Hankel forms of higher weights
Authors: Sundhäll Marcus
Published: September 2016

Hankel forms of higher weights, on weighted Bergman spaces in the unit ball of $\mathsf{C}^d$, were introduced by Peetre. Each Hankel form corresponds to a vector-valued holomorphic function, called the symbol of the form. In this paper we characterize bounded, compact and Schatten-von Neumann $\mathcal{S}_p$ class ($2\leq p<\infty$) Hankel forms in terms of the membership of the symbols in certain Besov spaces.
On symmetric words in the symmetric group of degree three
Authors: Plonka Ernest
Published: September 2016

A word $w(x_{1},x_{2},\ldots,x_{n})$ from absolutely free group $F_{n}$ is called symmetric $n$-word in a group $G$, if the equality $w(g_{1},g_{2},\ldots,g_{n})=w(g_{\sigma 1},g_{\sigma 2},\ldots,g_{\sigma n})$ holds for all $g_{1},g_{2},\ldots,g_{n}\in G$ and all permutations $\sigma\in S_{n}$. The set $\mathbf{S}^{(n)}(G)$ of all symmetric $n$-words is a subgroup of $F_{n}$. In this paper the groups of all symmetric $2$-words and $3$-words for the symmetric group of degree 3 are determined.
Maximal and linearly inextensible polynomials
Authors: Borcea Julius
Published: September 2016

Let $S(n,0)$ be the set of monic complex polynomials of degree $n\ge 2$ having all their zeros in the closed unit disk and vanishing at 0. For $p\in S(n,0)$ denote by $|p|_{0}$ the distance from the origin to the zero set of $p'$. We determine all $0$-maximal polynomials of degree $n$, that is, all polynomials $p\in S(n,0)$ such that $|p|_{0}\ge |q|_{0}$ for any $q\in S(n,0)$. Using a second order variational method we then show that although some of these polynomials are linearly inextensible, they are not locally maximal for Sendov's conjecture.
The regularity of the space of germs of Fréchet valued holomorphic functions and the mixed Hartog's theorem
Authors: Quang Thai Thuan
Published: September 2016

It is shown that $H(K, F)$ is regular for every reflexive Fréchet space $F$ with the property ($\mathrm{LB}_\infty)$ where $K$ is a compact set of uniqueness in a Fréchet-Schwartz space $E$ such that $E \in (\Omega)$. Using this result we give necessary and sufficient conditions for a Fréchet space $F$, under which every separately holomorphic function on $K \times F^*$ is holomorphic, where $K$ is as above.
Regularity below the continuous threshold in a two-phase parabolic free boundary problem
Authors: Nyström Kaj
Published: September 2016

In this paper we study free boundary regularity in a parabolic two-phase problem below the continuous threshold. We consider unbounded domains $\Omega\subset\mathsf{R}^{n+1}$ assuming that $\partial\Omega$ separates $\mathsf{R}^{n+1}$ into two connected components $\Omega^1=\Omega$ and $\Omega^2=\mathsf{R}^{n+1}\setminus\overline\Omega$. We furthermore assume that both $\Omega^1$ and $\Omega^2$ are parabolic NTA-domains, that $\partial\Omega$ is Ahlfors regular and for $i\in\{1,2\}$ we define $\omega^i(\hat{X}^i,\hat{t}^i,\cdot)$ to be the caloric measure at $(\hat{X}^i,\hat{t}^i)\in \Omega^i$ defined with respect to $\Omega^i$. In the paper we make the additional assumption that $\omega^i(\hat{X}^i,\hat{t}^i,\cdot)$, for $i\in\{1,2\}$, is absolutely continuous with respect to an appropriate surface measure $\sigma$ on $\partial\Omega$ and that the Poisson kernels $k^i(\hat{X}^i,\hat{t}^i,\cdot)=d\omega^i(\hat{X}^i,\hat{t}^i,\cdot)/d\sigma$ are such that $\log k^i(\hat{X}^i,\hat{t}^i,\cdot)\in \mathrm{VMO}(d\sigma)$. Our main result (Theorem 1) states that, under these assumptions, $C_r(X,t)\cap\partial\Omega$ is Reifenberg flat with vanishing constant whenever $(X,t)\in\partial\Omega$ and $\min\{\hat{t}^1,\hat{t}^2\}>t+4r^2$. This result has an important consequence (Theorem 3) stating that if the two-phase condition on the Poisson kernels is fulfilled, $\Omega^1$ and $\Omega^2$ are parabolic NTA-domains and $\partial\Omega$ is Ahlfors regular then if $\Omega$ is close to being a chord arc domain with vanishing constant we can in fact conclude that $\Omega$ is a chord arc domain with vanishing constant.
Extensions of $C^*$-algebras and translation invariant asymptotic homomorphisms
Authors: Manuilov V. , Thomsen K.
Published: September 2016

Let $A$, $B$ be $C^*$-algebras; $A$ separable, $B$ $\sigma$-unital and stable. We introduce a notion of translation invariance for asymptotic homomorphisms from $SA=C_0(\mathsf{R})\otimes A$ to $B$ and show that the Connes-Higson construction applied to any extension of $A$ by $B$ is homotopic to a translation invariant asymptotic homomorphism. In the other direction we give a construction which produces extensions of $A$ by $B$ out of such a translation invariant asymptotic homomorphism. This leads to our main result; that the homotopy classes of extensions coincide with the homotopy classes of translation invariant asymptotic homomorphisms.
Non-stable $K$-theory for $QB$-rings
Authors: Ara Pere , Perera Francesc
Published: September 2016

We study the class of $QB$-rings that satisfy the weak cancellation condition of separativity for finitely generated projective modules. This property turns out to be crucial for proving that all (quasi-)invertible matrices over a $QB$-ring can be diagonalised using row and column operations. The main two consequences of this fact are: (i) The natural map $(\mathrm{GL}_1(R)\to K_1(R)$ is surjective, and (ii) the only obstruction to lift invertible elements from a quotient is of $K$-theoretical nature. We also show that for a reasonably large class of $QB$-rings that includes the prime ones, separativity always holds.
Real rank estimate by hereditary $C^*$-subalgebras by projections
Authors: Sudo Takahiro
Published: September 2016

In this paper we estimate the real rank of $C^*$-algebras by that of their hereditary $C^*$-subalgebras by projections.
Sub-solutions and mean-value operators for ultraparabolic equations on Lie groups
Authors: Cinti Chiara
Published: September 2016

The aim of this paper is to provide a theory of sub-solutions for a class of hypoelliptic ultraparabolic operators $\mathcal L$, by using mean-value operators on the level sets of the fundamental solution of $\mathcal L$.
Irrationality measures for certain $q$-mathematical constants
Authors: Bundschuh Peter , Zudilin Wadim
Published: September 2016

We prove sharp irrationality measures for a $q$-analogue of $\pi$ and related $q$-series, and indicate open problems on linear and algebraic independence of the series that might be viewed as $q$-analogues of some classical mathematical constants.
Applications of moment problems to the overcompleteness of sequences
Authors: Chalendar Isabelle , Partington Jonathan R.
Published: September 2016

This paper introduces the notion of a determining function, which is used in order to apply results on the determination of measures by moments to the theory of overcompleteness of sequences in various function spaces, providing strong generalizations of results of Lin and Too. A further application is given to the determination of probability distributions by means of moments of record values.
The Poincaré series of the module of derivations of some monomial rings
Authors: Micale V.
Published: September 2016

Let $R$ be a quasi-homogeneous $k$-algebra and $M$ be a finitely generated graded $R$-module. The formal power series $\sum_{i}\dim_{k}(\mathrm{tor}_{i}^R(k,M)z^i$ is called the Poincaré series of $M$ and it is denoted by $P_{M}^R(z)$. We remark that the Poincaré series of the module of derivations of a monomial ring is rational and determine it in some cases.
Alternating group actions on spin 4-manifolds
Authors: Li Hongxia , Liu Ximin
Published: September 2016

Let $X$ be a smooth, closed, connected spin 4-manifold with $b_1(X)=0$ and non-positive signature $\sigma(X)$. In this paper we use Seiberg-Witten theory to prove that if $X$ admits a spin alternating $A_5$ action, then $b_2^+(X)\geq |\sigma(X)|/8 +3$ under some non-degeneracy conditions.
Hölder inequality for functions that are integrable with respect to bilinear maps
Authors: Blasco O. , Calabuig J. M.
Published: September 2016

Let $(\Omega, \Sigma, \mu)$ be a finite measure space, $1\le p<\infty$, $X$ be a Banach space $X$ and $B:X\times Y \to Z$ be a bounded bilinear map. We say that an $X$-valued function $f$ is $p$-integrable with respect to $B$ whenever $\sup_{\|y\|=1} \int_\Omega \|B(f(w),y)\|^p\,d\mu<\infty$. We get an analogue to Hölder's inequality in this setting.
Sup-norm estimates for Bergman-projections on regulated domains
Authors: Erkkilä Paula , Taskinen Jari
Published: September 2016

We give sufficient and necessary conditions for the boundedness of generalized Bergman projections on the space $L^\infty_v(\Omega)$. The conditions depend on the geometry of the simply connected domain $\Omega \subset \mathsf C$.
Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection
Authors: Yasar Erol , Cöken A. Ceylan , Yücesan Ahmet
Published: September 2016

In this paper, we study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.
On the prime number lemma of Selberg
Authors: Saidak Filip
Published: September 2016

The key result needed in almost all elementary proofs of the Prime Number Theorem is a prime number lemma proved by Atle Selberg in 1948. Without restricting ourselves to purely elementary techniques we show how the error term in Selberg's fundamental lemma relates to the error term in the Prime Number Theorem. In spite of all the interest in this topic over the last sixty years this particular question seems to have been overlooked in the past.
The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function
Authors: Berg Christian , Durán Antonio j.
Published: September 2016

We study the fixed point for a non-linear transformation in the set of Hausdorff moment sequences, defined by the formula: $T((a_n))_n=1/(a_0+\cdots +a_n)$. We determine the corresponding measure $\mu$, which has an increasing and convex density on $\mathopen]0,1\mathclose[$, and we study some analytic functions related to it. The Mellin transform $F$ of $\mu$ extends to a meromorphic function in the whole complex plane. It can be characterized in analogy with the Gamma function as the unique log-convex function on $\mathopen]-1,\infty\mathclose[$ satisfying $F(0)=1$ and the functional equation $1/F(s)=1/F(s+1)-F(s+1)$, $s>-1$.
Approximately inner derivations
Authors: Bratteli Ola , Kishimoto Akitaka , Robinson Derek W.
Published: September 2016

Let $\alpha$ be an approximately inner flow on a $C^*$-algebra $A$ with generator $\delta$ and let $\delta_n$ denote the bounded generators of the approximating flows $\alpha^{(n)}$. We analyze the structure of the set 26739 \mathcal D=\bigl\{x\in D(\delta): \lim_{n\rightarrow\infty}\delta_n(x)=\delta(x)\bigr\} 26739 of pointwise convergence of the generators. In particular we examine the relationship of $\mathcal D$ and various cores related to spectral subspaces.
Extensions of weakly supplemented modules
Authors: Alizade Rafail , Büyükasik Engin
Published: September 2016

It is shown that weakly supplemented modules need not be closed under extension (i.e. if $U$ and $M/U$ are weakly supplemented then $M$ need not be weakly supplemented). We prove that, if $U$ has a weak supplement in $M$ then $M$ is weakly supplemented. For a commutative ring $R$, we prove that $R$ is semilocal if and only if every direct product of simple $R$-modules is weakly supplemented.
On algebras associated to partially ordered sets
Authors: Brun Morten , Römer Tim
Published: September 2016

We continue the work [2] on sheaves of rings on finite posets. We present examples where the ring of global sections coincide with toric faces rings, quotients of a polynomial ring by a monomial ideal and algebras with straightening laws. We prove a rank-selection theorem which generalizes the well-known rank-selection theorem of Stanley-Reisner rings. Finally, we determine an explicit presentation of certain global rings of sections.
Suite exacte de Mayer-Vietoris d'une extension triangulaire
Authors: Bendiffalah B.
Published: September 2016

In this article, we complete the results published in [2] using new proofs: we obtain a more general long exact sequence for the extension groups $\operatorname {Ext}_T^*$ of the triangular algebra $T=\left[\begin{smallmatrix} A & M \\ 0 & B\end{smallmatrix}\right]$. One may find such a long exact sequence in the works of Palmér and Roos [22], [23], but only for very special instances of $T$-modules. This extra effort allows us to show that the well-known Hochschild cohomological exact sequence of Happel ([16] and, more generally,[8] and [20]) is just a particular instance of that of Palmér-Roos, even if it seems we really need an assumption on $M$ (the same trick also appears for the homological version using the ${\operatorname {Tor}}^T_*$ functor). With this method, we obtain a sensible improvement for the isomorphism of [3], which computes the Hochschild cohomology of triangular algebras in several cases. At the end of the article, we relate the Palmér-Roos exact sequence with the classical (i.e. topological) Mayer-Vietoris exact sequence.
Norm inequalities in multidimensional Lorentz spaces
Authors: Simonov Boris , Tikhonov Sergey
Published: September 2016

In this paper we obtain necessary and sufficient conditions for double trigonometric series to belong to generalized Lorentz spaces, not symmetric in general. Estimates for the norms are given in terms of coefficients.
A note on irrationality measures
Authors: Hancl Jaroslav , Stepnicka Jan
Published: September 2016

The paper deals with lower estimates for the irrationality measure of the sum of a special series. The result depends only on the form of convergence and does not make use of divisibility properties of integers or any algebraic identities.
A continuous spectrum for nonhomogeneous differential operators in Orlicz-Sobolev spaces
Authors: Mihailescu Mihai , Radulescu Vicentiu
Published: September 2016

We study the nonlinear eigenvalue problem $-(\mathrm{div} (a(|\nabla u|)\nabla u)=\lambda|u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in ${\mathsf R}^N$ with smooth boundary, $q$ is a continuous function, and $a$ is a nonhomogeneous potential. We establish sufficient conditions on $a$ and $q$ such that the above nonhomogeneous quasilinear problem has continuous families of eigenvalues. The proofs rely on elementary variational arguments. The abstract results of this paper are illustrated by the cases $a(t)=t^{p-2}\log (1+t^r)$ and $a(t)= t^{p-2} [\log (1+t)]^{-1}$.
Inequalities for products of polynomials I
Authors: Pritsker I.E. , Ruscheweyh S.
Published: September 2016

We study inequalities connecting the product of uniform norms of polynomials with the norm of their product. This circle of problems include the Gelfond-Mahler inequality for the unit disk and the Kneser-Borwein inequality for the segment $[-1,1]$. Furthermore, the asymptotically sharp constants are known for such inequalities over arbitrary compact sets in the complex plane. It is shown here that this best constant is smallest (namely: 2) for a disk. We also conjecture that it takes its largest value for a segment, among all compact connected sets in the plane.
The group law on a tropical elliptic curve
Authors: Vigeland Magnus Dehli
Published: September 2016

In analogy with the classical group law on a plane cubic curve, we define a group law on a smooth plane tropical cubic curve. We show that the resulting group is isomorphic to $S^1$.
The Kadets $1/4$ theorem for polynomials
Authors: Marzo Jordi , Seip Kristian
Published: September 2016

We determine the maximal angular perturbation of the $(n+1)$th roots of unity permissible in the Marcinkiewicz-Zygmund theorem on $L^p$ means of polynomials of degree at most $n$. For $p=2$, the result is an analogue of the Kadets $1/4$ theorem on perturbation of Riesz bases of holomorphic exponentials.
Le système dirigé des $\varepsilon_{\operatorname {res}}$-produits dans la catégorie des quotients banachiques
Authors: Aqzzouz Belmesnaoui , El Alj M. Hassan
Published: September 2016

Nous montrons que la famille des $\varepsilon$-produits $(G\varepsilon_{\mathrm{Res}} (E|F))_{\mathrm{Res}}$ qui a été défini dans [1], est un systéme dirigé dans la catégorie des quotients banachiques de Waelbroeck.
On fixed points of involutions of compact Riemann surfaces
Authors: Bujalance E. , Gromadzki G. , Tyszkowska E.
Published: September 2016

We find a bound for the total number of fixed points of $k$ commuting involutions of compact Riemann surfaces and we study its attainment. We also find a bound for such number for a pair of non-commuting involutions in terms of the order of their product and the genus of the surface. Finally, we study its attainment, topological type of the action of such pair and the nature of the locus of corresponding surfaces in Teichmüller space.
Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
Authors: Büyükasik Engin , Lomp Christian
Published: September 2016

In this note we show that a ring $R$ is left perfect if and only if every left $R$-module is weakly supplemented if and only if $R$ is semilocal and the radical of the countably infinite free left $R$-module has a weak supplement.
Separable states and positive maps II
Authors: Størmer Erling
Published: September 2016

Using the natural duality between linear functionals on tensor products of $C^*$-algebras with the trace class operators on a Hilbert space $H$ and linear maps of the $C^*$-algebra into $B(H)$, we give two characterizations of separability, one relating it to abelianness of the definite set of the map, and one on tensor products of nuclear and UHF $C^*$-algebras.
a high indices theorem without a nontrivial solution
Authors: Johansson Bo I.
Published: September 2016

In this paper we will extend the high indices Theorem by Hardy-Littlewood, which says that an Abel summable series, where the exponents fulfil a Hadamard gap criterion, is convergent and it converges to its Abel sum. The focus here is concerning a class of summability methods and their critical rate of convergence, i.e. for a given summability method what is its rate of convergence implying that the series must be identically constant.
A result on fractional $k$-deleted graphs
Authors: Zhou Sizhong
Published: September 2016

Let $k\geq 2$ be an integer, and let $G$ be a graph of order $n$ with $n\geq4k-5$. A graph $G$ is a fractional $k$-deleted graph if there exists a fractional $k$-factor after deleting any edge of $G$. The binding number of $G$ is defined as 26741 {\operatorname {bind}} (G)=\min\left\{\frac{|N_G(X)|}{|X|}:\emptyset\neq X\subseteq V(G),N_G(X)\neq V(G)\right\}. 26741 In this paper, it is proved that if ${\operatorname {bind}} (G)>\frac{(2k-1)(n-1)}{k(n-2)}$, then $G$ is a fractional $k$-deleted graph. Furthermore, it is shown that the result in this paper is best possible in some sense.
Biharmonic Green function of a ring domain
Authors: Vaitekhovich Tatyana S.
Published: September 2016

A biharmonic Green function of a circular ring domain $R=\{z\in \mathsf {C}: 0<r<|z|<1\}$ is found in the form 26741 \widehat{G}_{2}(z,\zeta)=|\zeta-z|^{2}G_{1}(z,\zeta)+\widehat{h}_{2}(z,\zeta), 26741 where $G_{1}(z,\zeta)$ is the harmonic Green function of the ring $R$, and $\widehat{h}_{2}(z,\zeta)$ is a specially constructed biharmonic function.
Uniform approximation on ideals of multilinear mappings
Authors: Botelho Geraldo , Galindo Pablo , Pellegrini Leonardo
Published: September 2016

For each ideal of multilinear mappings $\mathcal{M}$ we explicitly construct a corresponding ideal ${}^{a}\mathcal{M}$ such that multilinear forms in ${}^{a}\mathcal{M}$ are exactly those which can be approximated, in the uniform norm, by multilinear forms in $\mathcal{M}$. This construction is then applied to finite type, compact, weakly compact and absolutely summing multilinear mappings. It is also proved that the correspondence $\mathcal{M} \mapsto {}^{a}\mathcal{M}$ is Aron-Berner stability preserving.
Homotopy theory of cyclic presheaves
Authors: Seteklev Sigurd , Østvær Paul Arne
Published: September 2016

We generalize the homotopy theory of cyclic sets to cyclic presheaves on small Grothendieck sites. This is achieved by constructing pointwise and local model structures reminiscent of the homotopy theory of simplicial presheaves.
A regularized trace formula for second order differential operator equations
Authors: Koklu Kevser , Albayrak Inci , Bayramov Azad
Published: September 2016

In this paper, we deal with abstract Sturm-Liouville problems when the potential of the differential equation is an operator function in a Hilbert space $H$. We generalize trace formula obtained by [7], [9] for the classic regular Sturm-Liouville problems. We investigate the spectrum and obtained a regularized trace formula for the Sturm-Liouville operator with an operator coefficient.
Composition operators and closures of some Möbius invariant spaces in the Bloch space
Authors: Aulaskari Rauno , Zhao Ruhan
Published: September 2016

Boundedness and compactness of composition operators between the Bloch space and the closure of some Möbius invariant subspaces in the Bloch space are characterized.
Connectedness in some topological vector-lattice groups of sequences
Authors: Drewnowski Lech , Nawrocki Marek
Published: September 2016

Let $\eta$ be a strictly positive submeasure on $\mathsf N$. It is shown that the space $\omega(\eta)$ of all real sequences, considered with the topology $\tau_{\eta}$ of convergence in submeasure $\eta$, is (pathwise) connected iff $\eta$ is core-nonatomic. Moreover, for an arbitrary submeasure $\eta$, the connected component of the origin in $\omega(\eta)$ is characterized and shown to be an ideal. Some results of similar nature are also established for general topological vector-lattice groups as well as for the topological vector groups of Banach space valued sequences with the topology $\tau_{\eta}$.
A note on the Diophantine equation $|a^x-b^y|=c$
Authors: He Bo , Togbé Alain , Yang Shichun
Published: September 2016

Let $a,b,$ and $c$ be positive integers. We show that if $(a,b) =(N^k-1,N)$, where $N,k\geq 2$, then there is at most one positive integer solution $(x,y)$ to the exponential Diophantine equation $|a^x-b^y|=c$, unless $(N,k)=(2,2)$. Combining this with results of Bennett [3] and the first author [6], we stated all cases for which the equation $|(N^k \pm 1)^x - N^y|=c$ has more than one positive integer solutions $(x,y)$.
Periodic points of equivariant maps
Authors: Jezierski Jerzy , Marzantowicz Waclaw
Published: September 2016

We assume that $X$ is a compact connected polyhedron, $G$ is a finite group acting freely on $X$, and $f:X\to X$ a $G$-equivariant map. We find formulae for the least number of $n$-periodic points in the equivariant homotopy class of $f$, i.e., $\inf_h |(\mathrm{Fix}(h^n)|$ (where $h$ is $G$-homotopic to $f$). As an application we prove that the set of periodic points of an equivariant map is infinite provided the action on the rational homology of $X$ is trivial and the Lefschetz number $L(f^n)$ does not vanish for infinitely many indices $n$ commeasurable with the order of $G$. Moreover, at least linear growth, in $n$, of the number of points of period $n$ is shown.
Completely bounded polynomials between operator spaces
Authors: Dineen Seán , Radu Cristina
Published: September 2016

In this article we introduce the concept of a completely bounded polynomial between operator spaces, prove some basic properties and determine the operator structure of the space of diagonal polynomials on the more important operator Hilbert spaces.