H∞电晕中的细序列

D. Stankov, Tzonio G. Tzonev
{"title":"H∞电晕中的细序列","authors":"D. Stankov, Tzonio G. Tzonev","doi":"10.2478/s11533-013-0281-1","DOIUrl":null,"url":null,"abstract":"In this paper we consider several conditions for sequences of points in M(H∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\\infty )\\backslash \\mathbb{D}$$ of H∞ is a thin sequence for H∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H∞ necessarily satisfy the same condition.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"25 1","pages":"1843-1849"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thin sequences in the corona of H∞\",\"authors\":\"D. Stankov, Tzonio G. Tzonev\",\"doi\":\"10.2478/s11533-013-0281-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider several conditions for sequences of points in M(H∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\\\\infty )\\\\backslash \\\\mathbb{D}$$ of H∞ is a thin sequence for H∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H∞ necessarily satisfy the same condition.\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"25 1\",\"pages\":\"1843-1849\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-013-0281-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0281-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文考虑了M(H∞)中点序列的几个条件,并建立了它们之间的关系。我们证明了H∞的电晕$$M(H^\infty )\backslash \mathbb{D}$$上非平凡点的QA的每一个插值序列都是H∞的细序列,它满足一个附加的拓扑条件。H∞的希洛夫边界上的离散序列必然满足相同的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Thin sequences in the corona of H∞
In this paper we consider several conditions for sequences of points in M(H∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\infty )\backslash \mathbb{D}$$ of H∞ is a thin sequence for H∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H∞ necessarily satisfy the same condition.
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
自引率
0.00%
发文量
0
审稿时长
3-8 weeks
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信