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Global Existence of Large Data Weak Solutions for a Simplified Compressible Oldroyd--B Model Without Stress Diffusion 无应力扩散的简化可压缩Oldroyd—B模型大数据弱解的整体存在性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su3
global sci
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引用次数: 5
Boundary Values of Generalized Harmonic Functions Associated with the Rank-One Dunkl Operator 秩- 1 Dunkl算子的广义调和函数的边值
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su11
global sci
{"title":"Boundary Values of Generalized Harmonic Functions Associated with the Rank-One Dunkl Operator","authors":"global sci","doi":"10.4208/ata.oa-su11","DOIUrl":"https://doi.org/10.4208/ata.oa-su11","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"3 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82844426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lipschitz Invariance of Critical Exponents on Besov Spaces Besov空间上临界指数的Lipschitz不变性
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su5
global sci
{"title":"Lipschitz Invariance of Critical Exponents on Besov Spaces","authors":"global sci","doi":"10.4208/ata.oa-su5","DOIUrl":"https://doi.org/10.4208/ata.oa-su5","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"47 1","pages":"457-467"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81592940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Survey on Some Anisotropic Hardy-Type Function Spaces 一些各向异性hardy型函数空间的研究
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su10
global sci
{"title":"A Survey on Some Anisotropic Hardy-Type Function Spaces","authors":"global sci","doi":"10.4208/ata.oa-su10","DOIUrl":"https://doi.org/10.4208/ata.oa-su10","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"47 1","pages":"373-456"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89803262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Eigenvalues of a Differential Operator and Zeros of the Riemann $zeta$-Function 微分算子的特征值与黎曼$zeta$-函数的零点
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su1
L. Ge
{"title":"Eigenvalues of a Differential Operator and Zeros of the Riemann $zeta$-Function","authors":"L. Ge","doi":"10.4208/ata.oa-su1","DOIUrl":"https://doi.org/10.4208/ata.oa-su1","url":null,"abstract":"The eigenvalues of a differential operator on a Hilbert-Pólya space are determined. It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann ζ-function. Moreover, their corresponding multiplicities are the same.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"132 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75406985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Partial Derivatives, Singular Integrals and Sobolev Spaces in Dyadic Settings 并矢环境中的偏导数、奇异积分与Sobolev空间
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-04-23 DOI: 10.4208/ata.oa-2021-0051
H. Aimar, Juan Comesatti, I. G'omez, Luis Nowak
{"title":"Partial Derivatives, Singular Integrals and Sobolev Spaces in Dyadic Settings","authors":"H. Aimar, Juan Comesatti, I. G'omez, Luis Nowak","doi":"10.4208/ata.oa-2021-0051","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0051","url":null,"abstract":"In this note we show that the general theory of vector valued singular integral operators of Calderon-Zygmund defined on general metric measure spaces, can be applied to obtain Sobolev type regularity properties for solutions of the dyadic fractional Laplacian. In doing so, we define partial derivatives in terms of Haar multipliers and dyadic homogeneous singular integral operators.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77405736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
General Optimal Polynomial Approximants, Stabilization, and Projections of Unity 一般最优多项式逼近、稳定和统一的投影
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-03-22 DOI: 10.4208/ata.OA-2020-0047
Christopher Felder
{"title":"General Optimal Polynomial Approximants, Stabilization, and Projections of Unity","authors":"Christopher Felder","doi":"10.4208/ata.OA-2020-0047","DOIUrl":"https://doi.org/10.4208/ata.OA-2020-0047","url":null,"abstract":"For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function $f$ has optimal polynomial approximants given by truncations of a single power series. We also introduce a generalized notion of optimal approximant and use this to explicitly compute orthogonal projections of 1 onto certain shift invariant subspaces.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88890897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Morse Index of Multiple Blow-Up Solutions to the Two-Dimensional Sinh-Poisson Equation 二维Sinh-Poisson方程多个爆破解的Morse指数
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-01-07 DOI: 10.4208/ata.oa-2020-0037
Ruggero Freddi
{"title":"Morse Index of Multiple Blow-Up Solutions to the Two-Dimensional Sinh-Poisson Equation","authors":"Ruggero Freddi","doi":"10.4208/ata.oa-2020-0037","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0037","url":null,"abstract":"In this paper we consider the Dirichlet problem begin{equation} label{iniz} begin{cases} -Delta u = rho^2 (e^{u} - e^{-u}) & text{ in } Omega u=0 & text{ on } partial Omega, end{cases} end{equation} where $rho$ is a small parameter and $Omega$ is a $C^2$ bounded domain in $mathbb{R}^2$. [1] proves the existence of a $m$-point blow-up solution $u_rho$ jointly with its asymptotic behaviour. we compute the Morse index of $u_rho$ in terms of the Morse index of the associated Hamilton function of this problem. In addition, we give an asymptotic estimate for the first $4m$ eigenvalues and eigenfunctions.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"165 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73579106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Summation Theorems for Truncated Clausen Series and Applications 截断Clausen级数的几个求和定理及其应用
IF 0.6
Analysis in Theory and Applications Pub Date : 2019-06-18 DOI: 10.4208/ata.oa-2020-0036
M. I. Qureshi, S. Jabee, Dilshad Ahamad
{"title":"Some Summation Theorems for Truncated Clausen Series and Applications","authors":"M. I. Qureshi, S. Jabee, Dilshad Ahamad","doi":"10.4208/ata.oa-2020-0036","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0036","url":null,"abstract":"The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen's hypergeometric series with unit argument, when one numerator parameter and one denominator parameter are negative integers. Further, using our truncated summation theorems, we obtain the Mellin transforms of the product of exponential function and Goursat's truncated hypergeometric function.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"3 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84240875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Monge-Ampère Equation with Bounded Periodic Data 具有有界周期数据的monge - ampantere方程
IF 0.6
Analysis in Theory and Applications Pub Date : 2019-06-06 DOI: 10.4208/ata.oa-0022
Yanyan Li, Siyuan Lu
{"title":"Monge-Ampère Equation with Bounded Periodic Data","authors":"Yanyan Li, Siyuan Lu","doi":"10.4208/ata.oa-0022","DOIUrl":"https://doi.org/10.4208/ata.oa-0022","url":null,"abstract":"We consider the Monge-Ampere equation $det(D^2u)=f$ in $mathbb{R}^n$, where $f$ is a positive bounded periodic function. We prove that $u$ must be the sum of a quadratic polynomial and a periodic function. For $fequiv 1$, this is the classic result by Jorgens, Calabi and Pogorelov. For $fin C^alpha$, this was proved by Caffarelli and the first named author.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"84 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83875253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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