Analysis and Applications最新文献_第8页

On the Radon transform and the Dirac delta distribution in superspace 超空间中的Radon变换和Dirac分布

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-07-12 DOI: 10.1142/s0219530521500305

Al'i Guzm'an Ad'an, I. Sabadini, F. Sommen

引用次数: 0

Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces 混合范数Lebesgue空间经相关Herz空间傅里叶变换的可和性

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-06-29 DOI: 10.1142/S0219530521500135

Long Huang, F. Weisz, Dachun Yang, Wen Yuan

{"title":"Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces","authors":"Long Huang, F. Weisz, Dachun Yang, Wen Yuan","doi":"10.1142/S0219530521500135","DOIUrl":"https://doi.org/10.1142/S0219530521500135","url":null,"abstract":"Let [Formula: see text], [Formula: see text] be the mixed-norm Lebesgue space, and [Formula: see text] an integrable function. In this paper, via establishing the boundedness of the mixed centered Hardy–Littlewood maximal operator [Formula: see text] from [Formula: see text] to itself or to the weak mixed-norm Lebesgue space [Formula: see text] under some sharp assumptions on [Formula: see text] and [Formula: see text], the authors show that the [Formula: see text]-mean of [Formula: see text] converges to [Formula: see text] almost everywhere over the diagonal if the Fourier transform [Formula: see text] of [Formula: see text] belongs to some mixed-norm homogeneous Herz space [Formula: see text] with [Formula: see text] being the conjugate index of [Formula: see text]. Furthermore, by introducing another mixed-norm homogeneous Herz space and establishing a characterization of this Herz space, the authors then extend the above almost everywhere convergence of [Formula: see text]-means to the unrestricted case. Finally, the authors show that the [Formula: see text]-mean of [Formula: see text] converges over the diagonal to [Formula: see text] at all its [Formula: see text]-Lebesgue points if and only if [Formula: see text] belongs to [Formula: see text], and a similar conclusion also holds true for the unrestricted convergence at strong [Formula: see text]-Lebesgue points. Observe that, in all these results, those Herz spaces to which [Formula: see text] belongs prove to be the best choice in some sense.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43960497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 16

Probabilistic solutions to DAEs learning from physical data DAEs从物理数据中学习的概率解决方案

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-05-31 DOI: 10.1142/S021953052150010X

Z. Wu, R. Zhang

引用次数: 0

Neural network interpolation operators activated by smooth ramp functions 平滑斜坡函数激活的神经网络插值算子

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-05-31 DOI: 10.1142/S0219530521500123

Yunyou Qian, Dansheng Yu

引用次数: 3

Variation Operators Associated with the Semigroups Generated by Schrodinger Operators with Inverse Square Potentials 具有平方反比势的薛定谔算子生成的半群的变异算子

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-05-07 DOI: 10.1142/s0219530522500038

V'ictor Almeida, J. Betancor, L. Rodr'iguez-Mesa

引用次数: 2

Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum 具有大初始数据和真空的非均匀导热磁流体动力学方程强解的整体存在性和大时间行为

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-04-30 DOI: 10.1142/S0219530521500056

X. Zhong

引用次数: 6

Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds 球面和其他流形上具有本征相互作用的聚集模型的适定性和渐近行为

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-04-19 DOI: 10.1142/S0219530521500081

R. Fetecau, Hansol Park, F. Patacchini

引用次数: 15

A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization 给出了稀疏向量通过1 ~ 2局部极小化恢复的一个新的充分条件

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-04-10 DOI: 10.1142/S0219530521500068

Ning Bi, J. Tan, Wai-Shing Tang

引用次数: 2

Uniform asymptotics for the discrete Laguerre polynomials 离散Laguerre多项式的一致渐近性

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-04-08 DOI: 10.1142/s0219530521500202

D. Dai, Luming Yao

引用次数: 0

Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization 具有异质局部化的非局部函数空间的分数阶Hardy型和迹定理

IF 2.2 2区数学

Analysis and Applications Pub Date : 2021-03-17 DOI: 10.1142/s0219530521500329

Q. Du, T. Mengesha, Xiaochuan Tian

{"title":"Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization","authors":"Q. Du, T. Mengesha, Xiaochuan Tian","doi":"10.1142/s0219530521500329","DOIUrl":"https://doi.org/10.1142/s0219530521500329","url":null,"abstract":"This work aims to prove a Hardy-type inequality and a trace theorem for a class of function spaces on smooth domains with a nonlocal character. Functions in these spaces are allowed to be as rough as an [Formula: see text]-function inside the domain of definition but as smooth as a [Formula: see text]-function near the boundary. This feature is captured by a norm that is characterized by a nonlocal interaction kernel defined heterogeneously with a special localization feature on the boundary. Thus, the trace theorem we obtain here can be viewed as an improvement and refinement of the classical trace theorem for fractional Sobolev spaces [Formula: see text]. Similarly, the Hardy-type inequalities we establish for functions that vanish on the boundary show that functions in this generalized space have the same decay rate to the boundary as functions in the smaller space [Formula: see text]. The results we prove extend existing results shown in the Hilbert space setting with [Formula: see text]. A Poincaré-type inequality we establish for the function space under consideration together with the new trace theorem allows formulating and proving well-posedness of a nonlinear nonlocal variational problem with conventional local boundary condition.","PeriodicalId":55519,"journal":{"name":"Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2021-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43108895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 9