fejsamir的收敛性意味着两个参数共轭Walsh变换

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-09

U. Goginava, S. Said

{"title":"fejsamir的收敛性意味着两个参数共轭Walsh变换","authors":"U. Goginava, S. Said","doi":"10.7153/MIA-2021-24-09","DOIUrl":null,"url":null,"abstract":". Weisz proved-among others – that for f ∈ L log L the Fej´er means (cid:2) σ ( t , u ) n , m of conjugate transform of two-parameter Walsh-Fourier series a. e. converges to f ( t , u ) . The main aim of this paper is to prove that for any Orlicz space, which is not a subspace of L log L , the set of functions for which Walsh-Fej´er Means of two parameter Conjugate Transforms converge in measure is of ﬁ rst Baire category.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Convergence in measure of Fejér means of two parameter conjugate Walsh transforms\",\"authors\":\"U. Goginava, S. Said\",\"doi\":\"10.7153/MIA-2021-24-09\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Weisz proved-among others – that for f ∈ L log L the Fej´er means (cid:2) σ ( t , u ) n , m of conjugate transform of two-parameter Walsh-Fourier series a. e. converges to f ( t , u ) . The main aim of this paper is to prove that for any Orlicz space, which is not a subspace of L log L , the set of functions for which Walsh-Fej´er Means of two parameter Conjugate Transforms converge in measure is of ﬁ rst Baire category.\",\"PeriodicalId\":49868,\"journal\":{\"name\":\"Mathematical Inequalities & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Inequalities & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/MIA-2021-24-09\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/MIA-2021-24-09","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

。Weisz证明了-除其他外-对于f∈llogl, Fej´er意味着(cid:2) σ (t, u) n, m的双参数Walsh-Fourier级数a. e.的共轭变换收敛于f (t, u)。本文的主要目的是证明对于任意不是llogl的子空间的Orlicz空间，两参数共轭变换的Walsh-Fej´er Means在测度上收敛的函数集是第一Baire范畴。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Convergence in measure of Fejér means of two parameter conjugate Walsh transforms

. Weisz proved-among others – that for f ∈ L log L the Fej´er means (cid:2) σ ( t , u ) n , m of conjugate transform of two-parameter Walsh-Fourier series a. e. converges to f ( t , u ) . The main aim of this paper is to prove that for any Orlicz space, which is not a subspace of L log L , the set of functions for which Walsh-Fej´er Means of two parameter Conjugate Transforms converge in measure is of ﬁ rst Baire category.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.