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${[ell_p]}_{e.r}$ Euler-Riesz Difference Sequence Spaces $ {[ ell_p]} _ {e。$ Euler-Riesz差分序列空间
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ata.oa-2017-0068
global sci
{"title":"${[ell_p]}_{e.r}$ Euler-Riesz Difference Sequence Spaces","authors":"global sci","doi":"10.4208/ata.oa-2017-0068","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0068","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79918512","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
Singular Functions and Characterizations of Field Concentrations: a Survey 场集中的奇异函数和特征:综述
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ATA.2021.PR80.08
global sci
{"title":"Singular Functions and Characterizations of Field Concentrations: a Survey","authors":"global sci","doi":"10.4208/ATA.2021.PR80.08","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.08","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"3 1","pages":"102-113"},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86681265","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: 5
Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces Littlewood-Paley函数与triiebel - lizorkin空间，Besov空间
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ata.2021.lu80.01
global sci
{"title":"Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces","authors":"global sci","doi":"10.4208/ata.2021.lu80.01","DOIUrl":"https://doi.org/10.4208/ata.2021.lu80.01","url":null,"abstract":". We establish Littlewood-Paley charaterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"42 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74261853","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: 2
Ground States to the Generalized Nonlinear Schrodinger Equations with Bernstein Symbols 具有Bernstein符号的广义非线性薛定谔方程的基态
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ATA.2021.PR80.06
global sci
{"title":"Ground States to the Generalized Nonlinear Schrodinger Equations with Bernstein Symbols","authors":"global sci","doi":"10.4208/ATA.2021.PR80.06","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.06","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"7 1","pages":"157-177"},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88866963","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: 2
Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group Heisenberg群上非齐次拟线性方程的正则性
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ata.oa-2020-0040
global sci
{"title":"Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group","authors":"global sci","doi":"10.4208/ata.oa-2020-0040","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0040","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"51 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73050013","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
Commutators of Bilinear Hardy Operators on Two Weighted Herz Spaces with Variable Exponents 两个变指数加权Herz空间上双线性Hardy算子的交换子
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ata.2021.lu80.07
global sci
{"title":"Commutators of Bilinear Hardy Operators on Two Weighted Herz Spaces with Variable Exponents","authors":"global sci","doi":"10.4208/ata.2021.lu80.07","DOIUrl":"https://doi.org/10.4208/ata.2021.lu80.07","url":null,"abstract":". In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of two weighted Herz spaces.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"24 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77852269","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
Hill-Type Formula and Krein-Type Trace Formula for Hamiltonian Systems 哈密顿系统的hill型公式和krein型示踪公式
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-06-01 DOI: 10.4208/ATA.2021.PR80.09
global sci
{"title":"Hill-Type Formula and Krein-Type Trace Formula for Hamiltonian Systems","authors":"global sci","doi":"10.4208/ATA.2021.PR80.09","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.09","url":null,"abstract":". In this paper, we give a survey on the Hill-type formula and its applications. Moreover, we generalize the Hill-type formula for linear Hamiltonian systems and Sturm-Liouville systems with any self-adjoint boundary conditions, which include the standard Neumann, Dirichlet and periodic boundary conditions. The Hill-type formula connects the infinite determinant of the Hessian of the action functional with the determinant of matrices which depend on the monodromy matrix and boundary conditions. Further, based on the Hill-type formula, we derive the Krein-type trace formula. As applications, we give nontrivial estimations for the eigenvalue problem and the relative Morse index.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"77 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80300396","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 Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang 轴对称Navier-Stokes方程结果的评述，附潘X.和张强的补编
IF 0.6
Analysis in Theory and Applications Pub Date : 2021-01-13 DOI: 10.4208/ata.oa-2020-0050
Qi S. Zhang
{"title":"A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang","authors":"Qi S. Zhang","doi":"10.4208/ata.oa-2020-0050","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0050","url":null,"abstract":"In this paper, we give a brief survey of recent results on axially symmetric Navier-Stokes equations (ASNS) in the following categories: regularity criterion, Liouville property for ancient solutions, decay and vanishing of stationary solutions. Some discussions also touch on the full 3 dimensional equations. Two results, closing of the scaling gap for ASNS and vanishing of homogeneous D solutions in 3 dimensional slabs will be described in more detail. In the addendum, two new results in the 3rd category will also be presented, which are generalizations of recently published results by the author and coauthors.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80795029","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
Direct Result for a Summation-Integral Type Modification of Szasz--Mirakjan Operators Szasz—Mirakjan算子的求和-积分型修正的直接结果
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-2017-0081
global sci
{"title":"Direct Result for a Summation-Integral Type Modification of Szasz--Mirakjan Operators","authors":"global sci","doi":"10.4208/ata.oa-2017-0081","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0081","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"16 1","pages":"217-224"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86632824","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
Study on the Splitting Methods for Separable Convex Optimization in a Unified Algorithmic Framework 统一算法框架下可分离凸优化的分裂方法研究
IF 0.6
Analysis in Theory and Applications Pub Date : 2020-06-01 DOI: 10.4208/ata.oa-su13
global sci
{"title":"Study on the Splitting Methods for Separable Convex Optimization in a Unified Algorithmic Framework","authors":"global sci","doi":"10.4208/ata.oa-su13","DOIUrl":"https://doi.org/10.4208/ata.oa-su13","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"11 1","pages":"262-282"},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84251414","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
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