bluuebunny/crossref_metadata_2025 huggingface dataset:
Regularity results for singular elliptic problems
Authors: Caso Loredana
Published: December 2011

Some local and global regularity results for solutions of linear elliptic equations in weighted spaces are proved. Here the leading coefficients are VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.
Littlewood‐Paley characterization for Campanato spaces
Authors: El Baraka Azzeddine
Published: December 2011

The Littlewood‐Paley characterization for the local approximation Campanato spaces is well known in the cases α ≥ 0 and . We give in this paper a characterization of such a type for spaces (and for Morrey‐Campanato spaces L2,λ) for any . These spaces contain as spacial cases the well known spaces BMO of John and Nirenberg and its local version bmo.
On variational formulations for functional differential equations
Authors: Kolesnikova I. A. , Popov A. M. , Savchin V. M.
Published: December 2011

Necessary and sufficient conditions for the existence of integral variational principles for boundary value problems for given ordinary and partial functional differential equations are obtained. Examples are given illustrating the results.
Bounds on the effective behavior of a homogenized generalized Reynolds equation
Authors: Lukkassen Dag , Meidell Annette , Wall Peter
Published: December 2011

We study upper and lower bounds for estimating the effective behavior described by homogenizing a problem which is a generalization of the Reynold equation. All cases when these bounds coincide are also found.
Extremal points without compactness in L1(μ)
Authors: Martellotti Anna
Published: December 2011

We investigate the existence of extremal points and the Krein‐MIlman representation of bounded convex subsets of L1(μ) which are only closed with respect to the topology of μ‐a.e. convergence.
A note on maximal operator on ℓ{pn} and Lp(x)(ℝ)
Authors: Nekvinda Aleš
Published: December 2011

We consider a discrete analogue of Hardy‐Littlewood maximal operator on the generalized Lebesque space of sequences defined on ℤ. It is known a necessary and sufficient condition which guarantees an existence of a real number p > 1 such that the norms in the space and in the classical space are equivalent. Of course, this condition immediately implies the boundedness of maximal operator on and, moreover, lim⁡|n|→∞⁡pn = p. We construct two examples of sequences {pn} satisfying lim⁡|n|→∞⁡pn = p in this paper. In the first example the maximal operator is unbounded on and the sequence {pn} from the second example does not satisfy but the maximal operator is bounded. Moreover, it is known a sufficient integral condition to a behavior of a function p(x) at infinity which guarantees the boundedness of the maximal operator on Lp(⋅)(ℝn). As a main result of this paper we construct a function p(x) which does not satisfy this integral condition nevertheless the maximal operator is bounded.
Dual of modulation spaces
Authors: Kobayashi Masaharu
Published: December 2011

The aim of this paper is the study of the dual of modulation spaces Mp,q(Rd) for 0 < p, q < ∞.
Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds
Authors: Skrzypczak Leszek , Tomasz Bernadeta
Published: December 2011

We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described.
A direct proof of Sobolev embeddings for quasi‐homogeneous Lizorkin–Triebel spaces with mixed norms
Authors: Johnsen Jon , Sickel Winfried
Published: December 2011

The article deals with a simplified proof of the Sobolev embedding theorem for Lizorkin–Triebel spaces (that contain the Lp‐Sobolev spaces as special cases). The method extends to a proof of the corresponding fact for general Lizorkin–Triebel spaces based on mixed Lp‐norms. In this context a Nikol′ skij–Plancherel–Polya inequality for sequences of functions satisfying a geometric rectangle condition is proved. The results extend also to anisotropic spaces of the quasi‐homogeneous type.
The Riesz “rising sun” lemma for arbitrary Borel measures with some applications
Authors: Ephremidze Lasha , Fujii Nobuhiko , Terasawa Yutaka
Published: December 2011

The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak (1, 1) type inequality for the corresponding Hardy‐Littlewood maximal operator.
On composition operators in QK type spaces
Authors: Kotilainen Marko
Published: December 2011

Let p ≥ 1, q > −2 and let K : [0, ∞) → [0, ∞) be nondecreasing. With a different choice of p, q, K, the Banach space QK(p, q) coincides with many well‐known analytic function spaces. Boundedness and compactness of the composition operator Cφ from α‐Bloch space Bα into QK(p, q) are characterized by a condition depending only on analytic mapping φ : 𝔻 → 𝔻. The same properties are also studied in the case .
On the degree of compactness of embeddings between weighted modulation spaces
Authors: Hinrichs Aicke , Piotrowska Iwona , Piotrowski Mariusz
Published: December 2011

The paper investigates the asymptotic behaviour of entropy and approximation numbers of compact embeddings between weighted modulation spaces.
Lacunary series in QK type spaces
Authors: Zhou Jizhen
Published: December 2011

Under mild conditions on the weight function K we characterize lacunary series in QK(p, q) spaces, where QK(p, q) spaces are QK type spaces of functions analytic in the unit disk.
Bounded holomorphic projections for exponentially decreasing weights
Authors: Lusky Wolfgang , Taskinen Jari
Published: December 2011

We construct generalized Bergman projections on a large class of weighted L∞–spaces. The examples include exponentially decreasing weights on the unit disc and complex plane.
Qp‐spaces on bounded symmetric domains
Authors: Arazy Jonathan , Engliš Miroslav
Published: December 2011

We generalize the theory of Qp spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in Cd, as well as to analogous Moebius‐invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.
Composition operators from ℬα to QK type spaces
Authors: Zhou Jizhen
Published: December 2011

Suppose that ϕ is an analytic self‐map of the unit disk Δ. Necessary and sufficient condition are given for the composition operator Cϕf = fοϕ to be bounded and compact from α‐Bloch spaces to QK type spaces which are defined by a nonnegative, nondecreasing function k(r) for 0 ≤ r < ∞. Moreover, the compactness of composition operator Cϕ from ℬ0 to QK type spaces are studied, where ℬ0 is the space of analytic functions of f with f′ ∈ H∞ and .
The essential norm of a composition operator mapping into Qk type spaces
Authors: Kotilainen Marko , Rättyä Jouni
Published: December 2011

An asymptotic formula for the essential norm of the composition operator Cφ(f) : = f∘φ, induced by an analytic self‐map φ of the unit disc, mapping from the α‐Bloch space ℬα or the Dirichlet type space into Qk(p, q) is established in terms of an integral condition.
Mathematical analysis and homogenization of the torsion problem
Authors: Lukkassen Dag , Meidell Annette , Wall Peter
Published: December 2011

In this paper we address the limitations of the classical formulation of the torsion problem and give a self‐contained survey of the function spaces and formulations that are more suitable for analysing the torsional behavior of composite materials. We also prove some homogenization results for the torsion problem in both the periodic and stochastic setting. Our theoretical results are illustrated by numerical examples.
Convolution on spaces of locally summable functions
Authors: Andreano Federica , Grande Renato
Published: December 2011

In this work we prove the existence of convolution on Marcinkiewicz spaces , 1 ≤ p < ∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces.
Codomains for the Cauchy‐Riemann and Laplace operators in ℝ2
Authors: Moyo Lloyd Edgar S.
Published: December 2011

A codomain for a nonzero constant‐coefficient linear partial differential operator P(∂) with fundamental solution E is a space of distributions T for which it is possible to define the convolution E*T and thus solving the equation P(∂)S = T. We identify codomains for the Cauchy‐Riemann operator in ℝ2 and Laplace operator in ℝ2 . The convolution is understood in the sense of the S′‐convolution.
The Dirichlet Problem for elliptic equations in unbounded domains of the plane
Authors: Cavaliere Paola , Transirico Maria
Published: December 2011

In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.
On the trace space of a Sobolev space with a radial weight
Authors: Abels Helmut , Krbec Miroslav , Schumacher Katrin
Published: December 2011

Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Authors: Lukkassen Dag , Nguetseng Gabriel , Nnang Hubert , Wall Peter
Published: December 2011

We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.
Two‐weight inequalities for singular integral operators satisfying a variant of Hörmander′s condition
Authors: Guliyev Vagif S.
Published: December 2011

In this paper, we present some sufficient conditions for the
boundedness of convolution operators that their kernel satisfies a certain version
of Hörmander′s condition, in the weighted Lebesgue spaces Lp,ω (ℝn).
The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space
Authors: Tang Canqin , Bi Chuanmei
Published: December 2011

In this paper, we study the boundedness of commutator [b, T]
of Riesz transform associated with Schrödinger operator and b is BMO type
function, note that the kernel of T has no smoothness, and the boundedness from is obtained.
Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures
Authors: Yang Dachun , Yang Dongyong
Published: December 2011

Let µ be a nonnegative Radon measure on ℝd which satisfies the
growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that
for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball
centered at x and having radius r . In this paper, when ℝd is not an initial cube
which implies µ(ℝd) = ∞, the authors prove that the homogeneous Littlewood‐Paley g‐function of Tolsa is bounded from the Hardy space H1 (µ) to L1(µ), and
furthermore, that if f ∈ RBMO (µ), then [ġ(f )]2 is either infinite everywhere
or finite almost everywhere, and in the latter case, [ġ(f)]2 belongs to RBLO (µ)
with norm no more than , where C≻0 is independent of f .
Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights
Authors: Karlovich Alexei Yu.
Published: December 2011

Recently V. Kokilashvili, N. Samko, and S. Samko have proved a
sufficient condition for the boundedness of the Cauchy singular integral operator
on variable Lebesgue spaces with radial oscillating weights over Carleson curves.
This condition is formulated in terms of Matuszewska‐Orlicz indices of weights.
We prove a partial converse of their result.
Atomic decompositions of Lorentz martingale spaces and applications
Authors: Yong Jiao , Lihua Peng , Peide Liu
Published: December 2011

In the paper we present three atomic decomposition theorems of
Lorentz martingale spaces. With the help of atomic decomposition we obtain a
sufficient condition for sublinear operator defined on Lorentz martingale spaces
to be bounded. Using this sufficient condition, we investigate some inequalities
on Lorentz martingale spaces. Finally we discuss the restricted weak‐type
interpolation, and prove the classical Marcinkiewicz interpolation theorem in the
martingale setting.
Spaces of Sobolev type with positive smoothness on ℝn, embeddings and growth envelopes
Authors: Schneider Cornelia
Published: December 2011

We characterize Triebel‐Lizorkin spaces with positive smoothness
on ℝn, obtained by different approaches. First we present three settings associated to definitions by differences, Fourier‐analytical
methods and subatomic decompositions. We study their connections and diversity,
as well as embeddings between these spaces and into Lorentz spaces. Secondly,
relying on previous results obtained for Besov spaces , we determine
their growth envelopes for 0≺p≺∞, 0≺q ≤ ∞, s≻0, and
finally discuss some applications.
Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces
Authors: Samko Natasha
Published: December 2011

In connection with application to various problems of operator
theory, we study almost monotonic functions w(x, r) depending on a parameter
x which runs a metric measure space X, and the so called index numbers
m(w, x), M(w, x) of such functions, and consider some generalized Zygmund,
Bary, Lozinskii and Stechkin conditions. The main results contain necessary
and sufficient conditions, in terms of lower and upper bounds of indices m(w, x)
and M(w, x) , for the uniform belongness of functions w(·, r) to Zygmund‐Bary‐Stechkin classes. We give also applications to local dimensions in metric measure spaces
and characterization of some integral inequalities involving radial weights and
measures of balls in such spaces.
Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂn
Authors: Xu Wen
Published: December 2011

Distance formulae from Bloch functions to some Möbius invariant
function spaces in the unit ball of ℂn such as Qs spaces, little Bloch space ℬ0
and Besov spaces Bp are given.
Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity
Authors: Nguetseng Gabriel , Nnang Hubert , Svanstedt Nils
Published: December 2011

The present work is devoted to the study of homogenization of the weakly damped wave equation ∫Ωf(t) · υdx  for all υ=(υ1, υ2, υ3) ∈ Vε(0 < t < T), with initial conditions . Convergence homogenization results are achieved using the two‐scale convergence theory.
Generalized composition operators from Bloch type spaces to QK type spaces
Authors: Zhang Fang , Liu Yongmin
Published: December 2011

This paper characterizes the boundedness and compactness of the generalized composition operator from Bloch type spaces to QK type spaces.
On the approximation by trigonometric polynomials in weighted Lorentz spaces
Authors: Kokilashvili Vakhtang , Yildirir Yunus E.
Published: December 2011

We obtain estimates of structural characteristics of 2π‐periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces. In weighted Lorentz spaces Lps, this influence is expressed not only in terms of the parameter p, but also in terms of the second parameter s.
Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces
Authors: Kempka Henning
Published: December 2011

We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
The convolution algebra H1(R)
Authors: Johnson R. L. , Warner C. R.
Published: December 2011

H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}. We introduce a Banach algebra Q that properly lies between H1 and L1, and use it to show that c(1 + ln n) ≤ ||vn|| ≤ Cn1/2. We identify the maximal ideal space of H1 and give the appropriate version of Wiener′s Tauberian theorem.
Maximal operators of Fejér means of Walsh‐Kaczmarz‐Fourier series
Authors: Goginava Ushangi , Nagy Károly
Published: December 2011

The main aim of this paper is to prove that there exists a martingale f∈ H1/2 such that the maximal Fejér operator with respect to Walsh‐Kaczmarz system does not belong to the space L1/2. For the two‐dimensional case, we prove that there exists a martingale such that the restricted (unrestricted) maximal operator of Fejér means of two‐dimensional Walsh‐Kaczmarz‐Fourier series does not belong to the space weak‐L1/2.
Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces
Authors: Samko Natasha , Samko Stefan , Vakulov Boris
Published: December 2011

We consider non‐standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X. We establish theorems on mapping properties of potential operators of variable order α(x), from such a variable exponent Hölder space with the exponent λ(x) to another one with a “better” exponent λ(x) + α(x), and similar mapping properties of hypersingular integrals of variable order α(x) from such a space into the space with the “worse” exponent λ(x) − α(x) in the case α(x) < λ(x). These theorems are derived from the Zygmund type estimates of the local continuity modulus of potential and hypersingular operators via such modulus of their densities. These estimates allow us to treat not only the case of the spaces Hλ(⋅)(X), but also the generalized Hölder spaces Hw(⋅,⋅)(X) of functions whose continuity modulus is dominated by a given function w(x, h), x ∈ X, h > 0. We admit variable complex valued orders α(x), where ℜα(x) may vanish at a set of measure zero. To cover this case, we consider the action of potential operators to weighted generalized Hölder spaces with the weight α(x).
The Boundedness of Commutators of Singular Integral Operators with Besov Functions
Authors: Gao Xionglue , Ma Bolin
Published: December 2011

In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Hadamard products in F(p,q,s) spaces
Authors: Zhou Jizhen
Published: December 2011

We characterize coefficient multipliers from X to F(p, q, s), 0 < s < ∞, where X is either the Hardy space H1 or F(p, q, s).
A note on traces of some holomorphic spaces on polyballs
Authors: Shamoyan Romi F. , Mihić Olivera R.
Published: December 2011

We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.
Function spaces on the Koch curve
Authors: Kabanava Maryia
Published: December 2011

We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.
Partial Finite‐Time Synchronization of Switched Stochastic Chua′s Circuits via Sliding‐Mode Control
Authors: Wan Zhang-Lin , Hou Yi-You , Liao Teh-Lu , Yan Jun-Juh
Published: December 2011

This paper considers the problem of partial finite‐time synchronization between switched stochastic Chua′s circuits accompanied by a time‐driven switching law. Based on the Ito formula and Lyapunov stability theory, a sliding‐mode controller is developed to guarantee the synchronization of switched stochastic master‐slave Chua′s circuits and for the mean of error states to obtain the partial finite‐time stability. Numerical simulations demonstrate the effectiveness of the proposed methods.
Inverted Takotsubo-Like Left Ventricular Dysfunction with Pulmonary Oedema Developed after Caesarean Delivery Complicated by Massive Haemorrhage in a Severe Preeclamptic Parturient with a Prolonged Painful Labour
Authors: Jeong Hyejin , Lee Seongheon , Jeong Cheolwon , Lee Jongun , Jeong Seongtae , Chung Sungsu , Yoo Kyungyeon
Published: December 2011

Inverted takotsubo cardiomyopathy (TTC), a variant of stress-induced cardiomyopathy, features transient myocardial dysfunction characterized by a hyperdynamic left ventricular apex and akinesia of the base. Herein, we describe a 38-year-old primigravida with severe preeclampsia who had active labour for 4 h followed by an emergency caesarean delivery. She developed postpartum haemorrhage due to uterine atony complicated by pulmonary oedema, which was managed with large-volume infusion and hysterectomy. Her haemodynamic instability was associated with cardiac biomarkers indicative of diffuse myocardial injury and echocardiographic findings of an “inverted” TTC. The patient was almost fully recovered one month later. Our case shows that a reversible inverted TTC may result from a prolonged painful labour. TTC should be listed in the differential diagnosis of the patient presenting with pulmonary oedema of unknown origin, especially in patients with severe preeclampsia.
Boundary Value Problems with Integral Gluing Conditions for Fractional‐Order Mixed‐Type Equation
Authors: Berdyshev A. S. , Karimov E. T. , Akhtaeva N.
Published: December 2011

Analogs of the Tricomi and the Gellerstedt problems with integral gluing conditions for mixed parabolic‐hyperbolic equation with parameter have been considered. The considered mixed‐type equation consists of fractional diffusion and telegraph equation. The Tricomi problem is equivalently reduced to the second‐kind Volterra integral equation, which is uniquely solvable. The uniqueness of the Gellerstedt problem is proven by energy integrals′ method and the existence by reducing it to the ordinary differential equations. The method of Green functions and properties of integral‐differential operators have been used.
Changes in Erythrocyte Sedimentation Rate, White Blood Cell Count, Liver Enzymes, and Magnesium after Gastric Bypass Surgery
Authors: Johansson Hans-Erik , Haenni Arvo , Zethelius Björn
Published: December 2011

Background. Roux-en-Y gastric bypass (RYGBP) is an established method for treatment of obesity, a condition of chronic inflammation with liver steatosis, characterised by increased erythrocyte sedimentation rate (ESR), white blood cell count (WBC), liver enzymes, and decreased magnesium (Mg). We investigated alterations, if any, in ESR, WBC, alanine aminotransferase (ALT), gamma-glutamyl transferase (GGT), and Mg after RYGBP.Methods. 21 morbidly obese nondiabetic patients who underwent RYGBP surgery were evaluated preoperatively (baseline), then 1 year (1st followup) and 3.5 years (2nd followup) after RYGBP and compared to an untreated control group.Results. Body mass index, ESR, WBC, ALT, and GGT were all significantly reduced at 1 year in the RYGBP group (30%, 35%, 20%, 45%, and 57%, resp.) while Mg increased by 6%, compared to control group (P=0.001−0.009).Conclusions. Obese patients treated by RYGBP show sustained reductions in ESR, WBC, ALT, and GGT possibly due to reduced liver steatosis and increased Mg.
L∞‐Estimates of the Bergman projection in the Lie ball of ℂn
Authors: Nana Cyrille
Published: December 2011

In this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of ℂn in their Harish‐Chandra realizations. This paper is twofold: on one side we develop transfer methods between these bounded domains and their Cayley transform; on the other side we give a new range of q such that the Bergman projection is bounded from L∞(ℬn) to Lq(ℬn) where ℬn is the Lie ball of ℂn.
Community-Specific BMI Cutoff Points for South Indian Females
Authors: Kishore Mohan K. B. , Sapthagirivasan V. , Anburajan M.
Published: December 2011

Objective. To analyze multiparameters related to total body composition, with specific emphasis on obesity in South Indian females, in order to derive community-specific BMI cutoff points.Patients and Methods. A total number of 87 females (of age years) from South Indian Chennai urban population participated in this clinical study. Body composition analysis and anthropometric measurements were acquired after conducting careful clinical examination.Results. BMI demonstrated high significance when normal group ( kg/m2) was compared with obese group ( kg/m2), . BFM displayed high significance when normal group ( kg) was compared with obese group (29.94 ± 8.1 kg), .Conclusion. Community-specific BMI cutoffs are necessary to assess obesity in different ethnic groups, and relying on WHO-based universal BMI cutoff points would be a wrong strategy.
Some New Fixed‐Point Theorems for a (ψ, ϕ)‐Pair Meir‐Keeler‐Type Set‐Valued Contraction Map in Complete Metric Spaces
Authors: Chen Chi-Ming
Published: December 2011

We obtain some new fixed point theorems for a (ψ, ϕ)‐pair Meir‐Keeler‐type set‐valued contraction map in metric spaces. Our main results generalize and improve the results of Klim and Wardowski, (2007).
Solvability of a Second Order Nonlinear Neutral Delay Difference Equation
Authors: Liu Zeqing , Zhao Liangshi , Ume Jeong Sheok , Kang Shin Min
Published: December 2011

This paper studies the second‐order nonlinear neutral delay difference equation , n ≥ n0. By means of the Krasnoselskii and Schauder fixed point theorem and some new techniques, we get the existence
results of uncountably many bounded nonoscillatory, positive, and negative solutions for the equation,
respectively. Ten examples are given to illustrate the results presented in this paper.
Fractional integral operators on Herz spaces for supercritical indices
Authors: Komori-Furuya Yasuo
Published: December 2011

We consider the boundedness of fractional integral operators Iβ on Herz spaces , where q ≥ n/β. We introduce a new function space that is a variant of Lipschitz space. Our results are optimal.
Multilayer Perceptron for Prediction of 2006 World Cup Football Game
Authors: Huang Kou-Yuan , Chen Kai-Ju
Published: December 2011

Multilayer perceptron (MLP) with back‐propagation learning rule is adopted to predict the winning rates of two teams according to their official statistical data of 2006 World Cup Football Game at the previous stages. There are training samples from three classes: win, draw, and loss. At the new stage, new training samples are selected from the previous stages and are added to the training samples, then we retrain the neural network. It is a type of on‐line learning. The 8 features are selected with ad hoc choice. We use the theorem of Mirchandani and Cao to determine the number of hidden nodes. And after the testing in the learning convergence, the MLP is determined as 8‐2‐3 model. The learning rate and momentum coefficient are determined in the cross‐learning. The prediction accuracy achieves 75% if the draw games are excluded.
Minimum 2-Tuple Dominating Set of an Interval Graph
Authors: Pramanik Tarasankar , Mondal Sukumar , Pal Madhumangal
Published: December 2011

The k-tuple domination problem, for a fixed positive integer k, is to find a minimum size vertex subset such that every vertex in the graph is dominated by at least k vertices in this set. The case when k=2 is called 2-tuple domination problem or double domination problem. In this paper, the 2-tuple domination problem is studied on interval graphs from an algorithmic point of view, which takes O(n2) time, n is the total number of vertices of the interval graph.
A Characterization Method for Al Recovery from Dross Based on Compression at Elevated Temperatures
Authors: Maropoulos S. , Kountouras D. , Voulgaraki X. , Papanikolaou S. , Sanaidis I.
Published: December 2011

When aluminum or its alloys are melted, considerable amounts of dross are produced. The alloy type and the method used in the production of aluminum products play an important role in the amount of dross that will result as a byproduct. The current needs of the Al industry as well as economic and environmental factors demand the recovery of the pure material that is lost during dross removal by simple and efficient methods that can be applied within the foundry. Most cases of Al recovery employ methods of dross compression at high temperatures. This investigation attempts to develop a mathematical model to characterize the efficiency of the recovery process that can be implemented for any dross collection method or even compression device, facilitating the direct comparison of recovery methods.
On the coefficients of the expansion of elements from C[0, 1] space by the Faber‐Schauder system
Authors: Grigoryan M. G. , Sargsyan A. A.
Published: December 2011

Elements (functions) of continuous on [0, 1] functions space (C[0, 1]) are described which have 1/2‐monotone coefficients of the expansion by the Faber‐Schauder system.
On boundedness and compactness of a certain class of kernel operators
Authors: Ushakova Elena P.
Published: December 2011

New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p,  q < ∞) of the map with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Postcesarean Thromboprophylaxis with Two Different Regimens of Bemiparin
Authors: Cruz Milagros , Fernández-Alonso Ana M. , Rodríguez Isabel , Garrigosa Loreto , Caño Africa , Carretero Pilar , Vizcaíno Amelia , Gonzalez-Ramirez Amanda Rocío
Published: December 2011

Objectives. To compare the effectiveness of postcesarean thromboprophylaxis with two different regimens of bemiparin.Material and Methods. The study included 646 women with cesarean delivery in our hospital within a 1-year period, randomly assigned to one of two groups for prophylaxis with 3500 IU bemiparin once daily for 5 days or 3500 IU bemiparin once daily for 10 days.Results. There was one case of pulmonary embolism (first day following cesarean). An additional risk factor was present in 98.52% of the women, most frequently emergency cesarean, anemia, or obesity. The only risk factors for thromboembolic disease significantly related to pulmonary thromboembolism were placental abruption and prematurity. There were no differences in thromboembolic events among the two thromboprophylaxis regimens.Conclusions. Cesarean-related thromboembolic events were reduced in our study population due to the thromboprophylactic measures taken. Thromboprophylaxis with 3500 IU bemiparin once daily for 5 days following cesarean was sufficient to avoid thromboembolic events.
Weighted holomorphic Besov spaces on the polydisk
Authors: Harutyunyan Anahit V. , Lusky Wolfgang
Published: December 2011

This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation. Let 1 ≤ p < ∞, ω = (ω1, …, ωn), ωj ∈ S(1 ≤ j ≤ n) and f ∈ H(Un). The function f is said to be an element of the holomorphic Besov space Bp(ω) if , where dm2n(z) is the 2n‐dimensional Lebesgue measure on Un and D stands for a special fractional derivative of f defined in the paper. For example, if n = 1 then Df is the derivative of the function zf(z).

We describe the holomorphic Besov space in terms of Lp(ω) space. Moreover projection theorems and theorems of the existence of a right inverse are proved.
Generalization of I.Vekua′s integral representations of holomorphic functions and their application to the Riemann–Hilbert–Poincaré problem
Authors: Kokilashvili Vakhtang , Paatashvili Vakhtang
Published: December 2011

I. Vekua’s integral representations of holomorphic functions, whose m‐th derivative (m ≥ 0) is Hӧlder‐continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m‐th derivative is representable by a Cauchy type integral whose density is from variable exponent Lebesgue space Lp(⋅)(Γ; ω) with power weight. An integration curve is taken from a wide class of piecewise‐smooth curves admitting cusp points for certain p and ω. This makes it possible to obtain analogues of I. Vekua’s results to the Riemann–Hilbert–Poincaré problem under new general assumptions about the desired and the given elements of the problem. It is established that the solvability essentially depends on the geometry of a boundary, a weight function ω(t) and a function p(t).
Dunkl‐Sobolev spaces of exponential type and applications
Authors: Mejjaoli Hatem
Published: December 2011

We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo‐differential‐difference operators, which naturally act on the Dunkl‐Sobolev spaces of exponential type. Finally using the theory of reproducing kernels some applications are given for these spaces.
Patients Prefer Boarding in Inpatient Hallways: Correlation with the National Emergency Department Overcrowding Score
Authors: Richards John R. , Ozery Gal , Notash Mark , Sokolove Peter E. , Derlet Robert W. , Panacek Edward A.
Published: December 2011

Objective. The boarding of patients in Emergency Department (ED) hallways when no inpatient beds are available is a major cause of ED crowding. One solution is to board admitted patients in an inpatient rather than ED hallway. We surveyed patients to determine their preference and correlated their responses to real-time National Emergency Department Overcrowding Score (NEDOCS).Methods. This was a survey of admitted patients in the ED of an urban university level I trauma center serving a community of 5 million about their personal preferences regarding boarding. Real-time NEDOCS was calculated at the time each survey was conducted.Results. 99 total surveys were completed during October 2010, 42 (42%) patients preferred to be boarded in an inpatient hallway, 33 (33%) preferred the ED hallway, and 24 (24%) had no preference. Mean (±SD) NEDOCS (range 0–200) was for patients preferring inpatient boarding, for ED boarding, and without preference. Male patients preferred inpatient hallway boarding significantly more than females. Preference for inpatient boarding was associated with a significantly higher NEDOCS.Conclusions. In this survey study, patients prefer inpatient hallway boarding when the hospital is at or above capacity. Males prefer inpatient hallway boarding more than females. The preference for inpatient hallway boarding increases as the ED becomes more crowded.
Shintani Functions on SL(3,R)
Authors: Sono Keiju
Published: December 2011

We investigate the Shintani functions attached to the spherical and nonspherical principal series representations of SL(3, R). We give the explicit formulas of the radial part of Shintani functions and evaluate
the dimension of the space of Shintani functions.
Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases
Authors: Haroske Dorothee D. , Skrzypczak Leszek
Published: December 2011

We study compact embeddings for weighted spaces of Besov and Triebel‐Lizorkin type where the weight belongs to some Muckenhoupt class. This extends our previous results [25] to more general weights of logarithmically disturbed polynomial growth, both near some singular point and at infinity. We obtain sharp asymptotic estimates for the entropy numbers of this embedding. Essential tools are a discretisation in terms of wavelet bases, as well as a refined study of associated embeddings in sequence spaces and interpolation arguments in endpoint situations.
Fuzzy approximation of an additive functional equation
Authors: Eskandani G. Zamani , Zamani Ali Reza , Vaezi H.
Published: December 2011

In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.
Carbide Nanoparticles Encapsulated in the Caves of Carbon Nanotubes by an In Situ Reduction-Carbonization Route
Authors: Guo Chunli , Qian Yitai , Han Pengju
Published: December 2011

Carbides (TiC, WC, and NbC) nanoparticles fully encapsulated in the caves of carbon nanotubes (CNTs) were synthesized via an in situ reduction-carbonization route at 600∘C in an autoclave. The structural features and morphologies of as-obtained products were investigated using by X-ray diffraction, scanning electron microscopy, and high-resolution transmission electron microscopy (HRTEM). HRTEM studies showed that the average diameter of CNTs encapsulated with carbide nanoparticles are in the range of 15–40 nm. The reaction temperature, the reaction time, and the metal catalyst are found to play crucial roles to the product morphology. The growth mechanism of carbide nanoparticles encapsulated in CNTs was discussed in detail.
Near-Infrared All-Silicon Photodetectors
Authors: Casalino M. , Coppola G. , Iodice M. , Rendina I. , Sirleto L.
Published: December 2011

We report the fabrication and characterization of all-silicon photodetectors at 1550 nm based on the internal photoemission effect. We investigated two types of structures: bulk and integrated devices. The former are constituted by a Fabry-Perot microcavity incorporating a Schottky diode, and their performance in terms of responsivity, free spectral range, and finesse was experimentally calculated in order to prove an enhancement in responsivity due to the cavity effect. Results show a responsivity peak of about 0.01 mA/W at 1550 nm with a reverse bias of 100 mV. The latter are constituted by a Schottky junction placed transversally to the optical field confined into the waveguide. Preliminary results show a responsivity of about 0.1 mA/W at 1550 nm with a reverse bias of 1 V and an efficient behaviour in both C and L bands. Finally, an estimation of bandwidth for GHz range is deduced for both devices. The technological steps utilized to fabricate the devices allow an efficiently monolithic integration with complementary metal-oxide semiconductor (CMOS) compatible structures.
Probabilistic Behavior Analysis of MIMO Fading Channels under Geometric Mean Decomposition
Authors: Kuo Ping-Heng , Ting Pang-An
Published: December 2011

Geometric mean decomposition (GMD) has been proposed as a method to realize multiple spatial links with identical gains that are intrinsic to a MIMO channel. In order to simplify system design and implementation based on knowledge regarding probability behavior of MIMO‐GMD schemes, the main objective of this paper is to statistically characterize the link gains and channel capacities that can be provided via GMD. In particular, closed‐form univariate and bivariate probability density functions (PDFs) for these metrics under Rayleigh fading are derived using Gamma approximations. By applying these analytical results, the fluctuations of MIMO‐GMD schemes are examined by modeling both link gains and capacities using finite‐state Markov chains (FSMCs).
Developing and Activated T Cell Survival Depends on Differential Signaling Pathways to Regulate Anti-Apoptotic Bcl-xL
Authors: Wang Ruiqing , Xie Huimin , Huang Zhaofeng , Shang Weirong , Sun Zuoming
Published: December 2011

Survival of T cells in both the central and peripheral immune system determines its ultimate function in the regulation of immune responses. In the thymus, developing T cells undergo positive and negative selection to generate a T cell repertoire that responds to foreign, but not self, antigens. During T cell development, the T cell receptorαchain is rearranged. However, the first round of rearrangement may fail, which triggers another round ofαchain rearrangement until either successful positive selection or cell death occurs. Thus, the lifespan of double positive (CD4+CD8+; DP) thymocytes determines how many rounds ofαchain rearrangement can be carried out and influences the likelihood of completing positive selection. The anti-apoptotic protein Bcl-xLis the ultimate effector regulating the survival of CD4+CD8+thymocytes subject to the selection process, and the deletion of Bcl-xLleads to premature apoptosis of thymocytes prior to the completion of the developmental process. In addition to its critical function in the thymus, Bcl-xLalso regulates the survival of peripheral T cells. Upon engagement with antigens, T cells are activated and differentiated into effectors. Activated T cells upregulate Bcl-xLto enhance their own survival. Bcl-xL-mediated survival is required for the generation of effectors that carry out the actual immune responses. In the absence of Bcl-xL, mature T cells undergo apoptosis prior to the completion of the differentiation process to become effector cells. Therefore, Bcl-xLensures the survival of both developing and peripheral T cells, which is essential for a functional immune system.
l’oracle et l’hoplite:les élites sacerdotales et l’effort de guerre sous les dynasties égyptiennes indigenes
Authors: Agut-Labordère Damien
Published: December 2011

Abstract

This work proposes a new interpretation of the Chapter 10 of the so called Demotic Chronicle, an oracular text written in Egyptian Demotic and dated from the end of the IVth century BC. A gloss concerning the rule of Nektanebo I denounces the fiscal reforms of the Crown to finance the containment of the Achaemenid assaults against Egypt. This passage finds an echo with the reform of the Egyptian tax system undertaken by the Athenian Chabrias quoted by the Pseudo Aristotle. Both show that the necessity of the payment of a mercenary army drove to an improvement of taxation which prefigures the Ptolemaic reforms of the IIId century B.C.
Securing and Developing the Southwestern Region: The Role of the Cham and Malay Colonies in Vietnam (18th-19th centuries)
Authors: Weber Nicolas
Published: December 2011

Abstract

This article traces the history of the Cham and Malay military colonies in the southwestern provinces of Vietnam, from their creation in the eighteenth century to their dismantling during the last decades of the nineteenth century. The colonies were meant to protect the Khmero-Vietnamese border and secure Vietnamese positions in the southwestern regions (formerly part of Cambodia), as well as in eastern Cambodia. The study of the Chams and Malays in southern Vietnam sheds new light on the dynamics of power, the struggles for supremacy, and inter-ethnic associations during the process of state-building in Southeast Asia.
Beyond the Urban-Rural Divide: Complexities of Class, Status and Hierarchy in Bankok
Authors: Vorng Sophorntavy
Published: December 2011

Abstract

The Thai political conflict is often described in terms of an urban-rural class divide. Using an emic, ethnographic approach, I problematise this analysis by examining Bangkokian notions of class and status differentiation. These have their bases in the feudal sakdina era as well as notions of Buddhist hierarchy, and privilege cosmopolitanism, foreignness and wealth, as encapsulated by such hybrid concepts as ‘inter’ and ‘hi-so’ — both of which are adopted from the English language phrases ‘international’ and ‘high society’, respectively. Such notions cannot adequately be explained in terms of Western-centric concepts of class, yet are nevertheless shaped by Thailand’s historical engagement with Western powers as well as subsequent processes of globalization. Furthermore, status appraisal in Bangkok includes nuanced distinctions of consumption, education, ethnicity, and occupation, amongst other things, while simultaneously having a situational characteristic. This compels us to examine a variety of factors beyond the urban-rural divide in the discussion of the ongoing crisis.
Tricks and Truths of Drug Marketing: An Insider’s Experience of an Indian Pharmaceutical Organization
Authors: Banerjee Abhradip , Das Arnab , Chakrabarti Gopalkrishna
Published: December 2011

Abstract

The present article aims at providing some detailed insights into the cultural and ethical dimensions of pharmaceutical sales and marketing practices in India. The first author had six months of experience in the field of pharmaceutical marketing. This experience has been used as a means to understand the complementary elements of the subject concerned like business-network, strategies, roles and relations of various stakeholders, nature of exchange as well as intentions around transactions and practices from an insider’s perspective. By a continuous interpretation of multiple layers of consciousness implicit within the first author’s experience and with systematic recreation of his reactions, this article shows how Indian drug representatives are trained, what they do on a daily basis and also about their socialization process within corporate culture which has long eluded the anthropological studies of pharmaceuticals. Thus, it provides an ethnographic perspective or representation of how the networks, relations and ideologies are structured and organized, and in general, how things work in the Indian pharmaceutical industry.
Business-State Relations in the Differentiated Private Sector in Vietnam: Access to Capital and Land
Authors: Thomsen Lotte
Published: December 2011

Abstract

This paper examines private businesses’ access to land and capital in Vietnam. It finds that the allocation of these resources to private firms is still excessively state-driven and personalised, and examines the links that business people of different ethnical and regional backgrounds have with the state and how this facilitates or hinders their access to land and capital. Lacking relationships with the state may have profound consequences for unconnected private enterprises, which are accordingly subject to uneven competition from connected ones. The paper suggests that private businesses’ uneven opportunities are basically a consequence of the general history of the country and the role that individual business people have played in it, in such respects as having had former state-sector employment, party membership, the “side” they were on before and during the Vietnam War etc. In this, factors such as ethnicity, origin and present location in either northern or southern Vietnam play an important part.
Being Special, Becoming Indigenous: Dilemmas of Special Adat Rights in Indonesia
Authors: Tyson Adam
Published: December 2011

Abstract

From 1998 onwards Indonesia’s reform era (reformasi) has captured the imagination of growing numbers of observers, experts and scholars. Policies of decentralisation and enhanced public participation projects have reawakened old debates surrounding indigenous rights, power and status. This article examines the dilemma of special rights, particularly those related to the political revival of customs and traditions (adat istiadat). Calls for exigent recognition and redistributive rights for particular groups and ‘unique’ village communities frequently take the form of indirect regulatory negotiations and direct struggles for land. Case studies from Sulawesi are therefore used to examine heavily contested processes of decentralisation and local autonomy, which in many respects enable the revival of local adat. Distinctions are made between static and fluid views of adat, between being special by virtue of birthright on the one hand, and becoming indigenous by way of deliberate political intervention and mobilisation on the other.