函数的弱积空间上的乘数

IF 0.3 Q4 MATHEMATICS
S. Richter, B. Wick
{"title":"函数的弱积空间上的乘数","authors":"S. Richter, B. Wick","doi":"10.1515/conop-2016-0004","DOIUrl":null,"url":null,"abstract":"Abstract If H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined by We prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.","PeriodicalId":53800,"journal":{"name":"Concrete Operators","volume":"3 1","pages":"25 - 28"},"PeriodicalIF":0.3000,"publicationDate":"2016-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/conop-2016-0004","citationCount":"5","resultStr":"{\"title\":\"A remark on the multipliers on spaces of Weak Products of functions\",\"authors\":\"S. Richter, B. Wick\",\"doi\":\"10.1515/conop-2016-0004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract If H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined by We prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.\",\"PeriodicalId\":53800,\"journal\":{\"name\":\"Concrete Operators\",\"volume\":\"3 1\",\"pages\":\"25 - 28\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2016-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/conop-2016-0004\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Concrete Operators\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/conop-2016-0004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Concrete Operators","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/conop-2016-0004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 5

摘要

如果H表示域Ω上的解析函数的Hilbert空间,则弱积的定义如下:证明了如果H是Cd上的单位球上的一阶全纯Besov Hilbert空间,则H的乘子代数与H⊙H的乘子代数重合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A remark on the multipliers on spaces of Weak Products of functions
Abstract If H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined by We prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.
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
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 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