Bergman空间上泰勒位移的动力学

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2020-01-09 DOI:10.7900/jot.2019sep05.2324

Jurgen Muller, Maike Thelen

{"title":"Bergman空间上泰勒位移的动力学","authors":"Jurgen Muller, Maike Thelen","doi":"10.7900/jot.2019sep05.2324","DOIUrl":null,"url":null,"abstract":"The Taylor (backward) shift on Bergman spaces Ap(Ω) for general open sets Ω in the extended complex plane shows rich variety concerning its dynamical behaviour. Different aspects are worked out, where in the case p<2 a recent result of Bayart and Matheron plays a central role.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2020-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Dynamics of the Taylor shift on Bergman spaces\",\"authors\":\"Jurgen Muller, Maike Thelen\",\"doi\":\"10.7900/jot.2019sep05.2324\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Taylor (backward) shift on Bergman spaces Ap(Ω) for general open sets Ω in the extended complex plane shows rich variety concerning its dynamical behaviour. Different aspects are worked out, where in the case p<2 a recent result of Bayart and Matheron plays a central role.\",\"PeriodicalId\":50104,\"journal\":{\"name\":\"Journal of Operator Theory\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2020-01-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7900/jot.2019sep05.2324\",\"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":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2019sep05.2324","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: 4

摘要

广义复平面上的广义开集Ω在Bergman空间Ap（Ω）上的Taylor（后向）移位显示了其动力学行为的丰富多样性。得出了不同的方面，其中在p<2的情况下，Bayart和Matheron的最新结果起着核心作用。

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

Dynamics of the Taylor shift on Bergman spaces

The Taylor (backward) shift on Bergman spaces Ap(Ω) for general open sets Ω in the extended complex plane shows rich variety concerning its dynamical behaviour. Different aspects are worked out, where in the case p<2 a recent result of Bayart and Matheron plays a central role.

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

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.