从谐波 Lipschitz 空间到加权谐波 Zygmund 空间的合成算子

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-11-21 DOI:10.28924/2291-8639-21-2023-125

M. A. Bakhit, N. M. Dahshan, Ranya Tahier, Omniat O. Y. Karrar, Mehreen S. Khan, M. A. Orsud

{"title":"从谐波 Lipschitz 空间到加权谐波 Zygmund 空间的合成算子","authors":"M. A. Bakhit, N. M. Dahshan, Ranya Tahier, Omniat O. Y. Karrar, Mehreen S. Khan, M. A. Orsud","doi":"10.28924/2291-8639-21-2023-125","DOIUrl":null,"url":null,"abstract":"The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of such an operator from LipHα into ZHβ spaces.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"2 ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space\",\"authors\":\"M. A. Bakhit, N. M. Dahshan, Ranya Tahier, Omniat O. Y. Karrar, Mehreen S. Khan, M. A. Orsud\",\"doi\":\"10.28924/2291-8639-21-2023-125\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of such an operator from LipHα into ZHβ spaces.\",\"PeriodicalId\":45204,\"journal\":{\"name\":\"International Journal of Analysis and Applications\",\"volume\":\"2 \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-11-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28924/2291-8639-21-2023-125\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-21-2023-125","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了从谐波 Lipschitz 空间 LipHα, (0<α<1) 到加权谐波 Zygmund 空间 ZHβ, (0<β<∞) 的组成算子在开放单位盘上是有界和紧凑的必要条件和充分条件。作为应用，它估算了这种算子从 LipHα 到 ZHβ 空间的基本规范。

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

Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of such an operator from LipHα into ZHβ spaces.

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

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks