Analysis Mathematica最新文献_第10页

On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces 关于极小曲面的Edrei-Goldberg-Ostrovskii定理

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-09-06 DOI: 10.1007/s10476-023-0230-6

A. Kowalski, I. I. Marchenko

引用次数: 0

Building Blocks in Function Spaces 功能空间中的构建块

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-09-05 DOI: 10.1007/s10476-023-0236-0

H. Triebel

引用次数: 0

Weighted Weak Type Mixed Φ-Inequalities for Martingale Maximal Operator 鞅极大算子的加权弱型混合Φ-不等式

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-09-05 DOI: 10.1007/s10476-023-0237-z

Y. Ren

引用次数: 0

A Note on the Maximal Operator on Weighted Morrey Spaces 关于加权Morrey空间上最大算子的一个注记

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-09-05 DOI: 10.1007/s10476-023-0235-1

A. K. Lerner

{"title":"A Note on the Maximal Operator on Weighted Morrey Spaces","authors":"A. K. Lerner","doi":"10.1007/s10476-023-0235-1","DOIUrl":"10.1007/s10476-023-0235-1","url":null,"abstract":"<div>In this paper we consider weighted Morrey spaces ({cal M}_{lambda ,{cal F}}^p(w)) adapted to a family of cubes ({cal F}), with the norm <div><div>$$Vert fVert{_{{cal M}_{lambda ,{cal F}}^p(w)}}: = mathop {sup }limits_{Q in {cal F}} {left( {{1 over {|Q{|^lambda }}}int_Q {|f{|^p}w} } right)^{1/p}},$$</div></div> and the question we deal with is whether a Muckenhoupt-type condition characterizes the boundedness of the Hardy–Littlewood maximal operator on ({cal M}_{lambda ,{cal F}}^p(w)).In the case of the global Morrey spaces (when ({cal F}) is the family of all cubes in ℝn) this question is still open. In the case of the local Morrey spaces (when ({cal F}) is the family of all cubes centered at the origin) this question was answered positively in a recent work of Duoandikoetxea and Rosenthal [2].We obtain an extension of [2] by showing that the answer is positive when ({cal F}) is the family of all cubes centered at a sequence of points in ℝn satisfying a certain lacunary-type condition.</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"49 4","pages":"1073 - 1086"},"PeriodicalIF":0.7,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-023-0235-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44368608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stability of ANdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${cal A}{cal N}$$end{document}-Operators under Functi ANdocumentclass[12pt]｛minimum｝usepackage｛amsmath｝usepackage｛wasysym｝usepackup｛amsfonts｝usecpackage{amssymb｝usecpackage{amsbsy｝usecPackage｛mathrsfs｝usepackage{upgradeek｝setlength｛oddsedmargin｝｛-69pt｝ begin｛document｝$${document}-OperatorsFuncti

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-09-01 DOI: 10.1007/s10476-023-0231-5

G. Ramesh, H. Osaka, Y. Udagawa, T. Yamazaki

引用次数: 0

Fermat and Malmquist type matrix differential equations 费马和马奎斯特型矩阵微分方程

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-06-08 DOI: 10.1007/s10476-023-0220-8

Y. X. Li, K. Liu, H. B. Si

引用次数: 0

The gaussian convolution and reproducing kernels associated with the Hankel multidimensional operator 与Hankel多维算子相关的高斯卷积和再生核

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-06-08 DOI: 10.1007/s10476-023-0219-1

B. Amri

{"title":"The gaussian convolution and reproducing kernels associated with the Hankel multidimensional operator","authors":"B. Amri","doi":"10.1007/s10476-023-0219-1","DOIUrl":"10.1007/s10476-023-0219-1","url":null,"abstract":"<div>We consider the Hankel multidimensional operator defined on]0, +∞[n by <div><div>$${Delta _alpha} = sumlimits_{j = 1}^n {left({{{{partial ^2}} over {partial x_j^2}} + {{2{alpha _j} + 1} over {{x_j}}}{partial over {partial {x_j}}}} right)} $$</div></div> where (alpha = ({alpha _1},{alpha _2}, ldots ,{alpha _n}) in ] - {1 over 2}, + infty {[^n}). We give the most important harmonic analysis results related to the operator Δα (translation operators τx, convolution product * and Hankel transform ℌα).Using harmonic analysis results, we study spaces of Sobolev type for which we make explicit kernels reproducing. Next, we define and study the gaussian convolution ({{cal G}^t}), t > 0, associated with the Hankel multidimensinal operator Δα. This transformation generalizes the classical gaussian transformation. We establish the most important properties of this transformation. In particular, we show that the gaussian transformation solves the heat equation, that is <div><div>$${Delta _alpha}(u)(x,t) = {{partial u} over {partial t}}(x,t),,,,,,(x,t) in [0, + infty {[^n} times ]0, + infty [.$$</div></div>In the second part of this work, we prove the existence and uniqueness of the extremal function associated with the gaussian transformation. We express this function using the reproducing kernels and we prove the important estimates for this extremal function.</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"49 2","pages":"355 - 379"},"PeriodicalIF":0.7,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44363619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Weyl’s asymptotic formula for fractal Laplacians defined by a class of self-similar measures with overlaps 由一类有重叠的自相似测度定义的分形拉普拉斯算子的Weyl渐近公式

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-06-08 DOI: 10.1007/s10476-023-0222-6

W. Tang, Z. Y. Wang

引用次数: 0

Representing certain vector-valued function spaces as tensor products 将某些向量值函数空间表示为张量积

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-06-08 DOI: 10.1007/s10476-023-0218-2

M. Abtahi

{"title":"Representing certain vector-valued function spaces as tensor products","authors":"M. Abtahi","doi":"10.1007/s10476-023-0218-2","DOIUrl":"10.1007/s10476-023-0218-2","url":null,"abstract":"<div>Let E be a Banach space. For a topological space X, let ({{cal C}_b}(X,E)) be the space of all bounded continuous E-valued functions on X, and let ({{cal C}_K}(X,E)) be the subspace of ({{cal C}_b}(X,E)) consisting of all functions having a pre-compact image in E. We show that ({{cal C}_K}(X,E)) is isometrically isomorphic to the injective tensor product ({{cal C}_b}(X){{hat otimes}_varepsilon}E), and that ({{cal C}_b}(X,E) = {{cal C}_b}(X){{hat otimes}_varepsilon}E) if and only if E is finite dimensional. Next, we consider the space Lip(X, E) of E-valued Lipschitz operators on a metric space (X, d) and its subspace LipK(X, E) of Lipschitz compact operators. Utilizing the results on ({{cal C}_b}(X,E)), we prove that LipK(X, E) is isometrically isomorphic to a tensor product ({rm{Lip}}(X){{hat otimes}_alpha}E), and that ({rm{Lip}}(X,E) = {rm{Lip}}(X){{hat otimes}_alpha}E) if and only if E is finite dimensional. Finally, we consider the space D1(X, E) of continuously differentiable functions on a perfect compact plane set X and show that, under certain conditions, D1(X, E) is isometrically isomorphic to a tensor product ({D^1}(X){hat otimes _beta}E).</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"49 2","pages":"337 - 353"},"PeriodicalIF":0.7,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42413745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The pointwise James type constant 逐点James型常数

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-06-08 DOI: 10.1007/s10476-023-0221-7

M. A. Rincón-Villamizar

引用次数: 0