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Norm Estimates for the Kakeya Maximal Function in High Dimensions with Respect to General Measures 关于一般测度的高维Kakeya极大函数的范数估计
Real Analysis Exchange Pub Date : 2023-10-01 DOI: 10.14321/realanalexch.48.2.1671696175
Anthony Gauvan
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引用次数: 0
A Rokhlin Lemma for Noninvertible Totally-Ordered Measure-Preserving Dynamical Systems 非可逆全序保测度动力系统的一个Rokhlin引理
Real Analysis Exchange Pub Date : 2023-10-01 DOI: 10.14321/realanalexch.48.2.1645609092
Adam R. B. Erickson
{"title":"A Rokhlin Lemma for Noninvertible Totally-Ordered Measure-Preserving Dynamical Systems","authors":"Adam R. B. Erickson","doi":"10.14321/realanalexch.48.2.1645609092","DOIUrl":"https://doi.org/10.14321/realanalexch.48.2.1645609092","url":null,"abstract":"Let $(X,mathcal{F},mu,T)$ be a not necessarily invertible non-atomic measure-preserving dynamical system where the $sigma$-algebra $mathcal{F}$ is generated by the intervals according to some total order. The main result is that the classical Rokhlin lemma may be adapted to such a situation assuming a slight extension of aperiodicity. This result is compared to previous noninvertible versions of the Rokhlin lemma.","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134979036","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
Existence of Infinite Product Measures 无穷积测度的存在性
Real Analysis Exchange Pub Date : 2023-10-01 DOI: 10.14321/realanalexch.48.2.1643257005
Juan Carlos Sampedro
{"title":"Existence of Infinite Product Measures","authors":"Juan Carlos Sampedro","doi":"10.14321/realanalexch.48.2.1643257005","DOIUrl":"https://doi.org/10.14321/realanalexch.48.2.1643257005","url":null,"abstract":"A construction of product measures is given for an arbitrary sequence of measure spaces via outer measure techniques without imposing any condition on the underlying measure spaces. This result generalizes the ones given up to date.","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"155 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134979037","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
Hypercyclic Algebras for Convolution Operators with Long Arithmetic Progressions in their Zero Sets 零集中长等差数列卷积算子的超循环代数
Real Analysis Exchange Pub Date : 2023-10-01 DOI: 10.14321/realanalexch.48.2.1674501193
David Walmsley
{"title":"Hypercyclic Algebras for Convolution Operators with Long Arithmetic Progressions in their Zero Sets","authors":"David Walmsley","doi":"10.14321/realanalexch.48.2.1674501193","DOIUrl":"https://doi.org/10.14321/realanalexch.48.2.1674501193","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134979045","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
Irreducibility and Primality in Differentiability Classes 可微类中的不可约性与原性
IF 0.2
Real Analysis Exchange Pub Date : 2023-01-01 DOI: 10.14321/realanalexch.48.1.1660633299
A. Batal, Sadık Eyidoğan, H. Göral
{"title":"Irreducibility and Primality in Differentiability Classes","authors":"A. Batal, Sadık Eyidoğan, H. Göral","doi":"10.14321/realanalexch.48.1.1660633299","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1660633299","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66984402","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
Remark on Singular Integral Operators of Convolution Type on Rearrangement-Invariant Banach Function Spaces 重排不变Banach函数空间上卷积型奇异积分算子的注解
IF 0.2
Real Analysis Exchange Pub Date : 2023-01-01 DOI: 10.14321/realanalexch.48.1.1661058123
Oleksiy Karlovych, E. Shargorodsky
{"title":"Remark on Singular Integral Operators of Convolution Type on Rearrangement-Invariant Banach Function Spaces","authors":"Oleksiy Karlovych, E. Shargorodsky","doi":"10.14321/realanalexch.48.1.1661058123","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1661058123","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66984527","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
The Life and Mathematics of Jaroslav Smítal 雅罗斯拉夫的生平与数学Smítal
IF 0.2
Real Analysis Exchange Pub Date : 2023-01-01 DOI: 10.14321/realanalexch.48.1.1659420505
L. Snoha
{"title":"The Life and Mathematics of Jaroslav Smítal","authors":"L. Snoha","doi":"10.14321/realanalexch.48.1.1659420505","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1659420505","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66984655","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
Recollections about Jaroslav Smítal 雅罗斯拉夫·斯米塔尔回忆
IF 0.2
Real Analysis Exchange Pub Date : 2023-01-01 DOI: 10.14321/realanalexch.48.1.1659420745
Michaela Mlíchová
{"title":"Recollections about Jaroslav Smítal","authors":"Michaela Mlíchová","doi":"10.14321/realanalexch.48.1.1659420745","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1659420745","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66984758","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
Approximation by Subsequences of Matrix Transform Mean of Walsh-Fourier Series 沃尔什-傅立叶级数矩阵变换均值的子序列逼近
IF 0.2
Real Analysis Exchange Pub Date : 2023-01-01 DOI: 10.14321/realanalexch.48.1.1654398223
I. Blahota
{"title":"Approximation by Subsequences of Matrix Transform Mean of Walsh-Fourier Series","authors":"I. Blahota","doi":"10.14321/realanalexch.48.1.1654398223","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1654398223","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66984282","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
Extension of the Continuity Theorems of Lebesgue Integration Lebesgue积分连续性定理的推广
IF 0.2
Real Analysis Exchange Pub Date : 2023-01-01 DOI: 10.14321/realanalexch.48.1.1643688157
S. Majumdar
{"title":"Extension of the Continuity Theorems of Lebesgue Integration","authors":"S. Majumdar","doi":"10.14321/realanalexch.48.1.1643688157","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1643688157","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66983917","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
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