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Classical and Discrete Functional Analysis with Measure Theory最新文献

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Summability 可和性
Classical and Discrete Functional Analysis with Measure Theory Pub Date : 2022-01-31 DOI: 10.1017/9781139524445.016
{"title":"Summability","authors":"","doi":"10.1017/9781139524445.016","DOIUrl":"https://doi.org/10.1017/9781139524445.016","url":null,"abstract":". In this note we show that the Taylor series of a function in a weighted Dirichlet space is (generalized) N¨orlund summable, provided that the sequence determining the N¨orlund operator is non-decreasing and has finite upper growth rate. In particular the Taylor series is N¨orlund summable for all α > 1 / 2, and the rate of convergence is of the order O ( n − 1 / 2 ). The inequality α > 1 / 2 is sharp. On the other hand if the Taylor series is N¨orlund summable and the partial sums of the determining sequence enjoy a certain growth condition then the determining sequence has finite lower growth rate. An analogue result is derived for a non-increasing sequence that is uniformly bounded away from zero.","PeriodicalId":278068,"journal":{"name":"Classical and Discrete Functional Analysis with Measure Theory","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130680784","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
Lebesgue Measure 勒贝格测度
Classical and Discrete Functional Analysis with Measure Theory Pub Date : 2022-01-31 DOI: 10.1017/9781139524445.004
{"title":"Lebesgue Measure","authors":"","doi":"10.1017/9781139524445.004","DOIUrl":"https://doi.org/10.1017/9781139524445.004","url":null,"abstract":"","PeriodicalId":278068,"journal":{"name":"Classical and Discrete Functional Analysis with Measure Theory","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120976305","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
Matrix Maps, Multipliers, and Duality 矩阵映射，乘法器和对偶性
Classical and Discrete Functional Analysis with Measure Theory Pub Date : 2022-01-31 DOI: 10.1017/9781139524445.015
{"title":"Matrix Maps, Multipliers, and Duality","authors":"","doi":"10.1017/9781139524445.015","DOIUrl":"https://doi.org/10.1017/9781139524445.015","url":null,"abstract":"","PeriodicalId":278068,"journal":{"name":"Classical and Discrete Functional Analysis with Measure Theory","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122672884","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
Metric and Normed Spaces 度量空间和赋范空间
Classical and Discrete Functional Analysis with Measure Theory Pub Date : 2022-01-31 DOI: 10.1017/9781139524445.009
A. Kolmogorov, S. Fomin, L. Boron
{"title":"Metric and Normed Spaces","authors":"A. Kolmogorov, S. Fomin, L. Boron","doi":"10.1017/9781139524445.009","DOIUrl":"https://doi.org/10.1017/9781139524445.009","url":null,"abstract":"","PeriodicalId":278068,"journal":{"name":"Classical and Discrete Functional Analysis with Measure Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130986171","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
Sequence Spaces 序列空间
Classical and Discrete Functional Analysis with Measure Theory Pub Date : 2015-11-02 DOI: 10.1142/9789812830036_0012
M.S.E. Duijvis
{"title":"Sequence Spaces","authors":"M.S.E. Duijvis","doi":"10.1142/9789812830036_0012","DOIUrl":"https://doi.org/10.1142/9789812830036_0012","url":null,"abstract":"","PeriodicalId":278068,"journal":{"name":"Classical and Discrete Functional Analysis with Measure Theory","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128323601","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: 14
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