权重加倍诱导的加权Bergman空间上的加权复合算子

Pub Date : 2020-09-03 DOI:10.7146/math.scand.a-119741

Juntao Du, Songxiao Li, Yecheng Shi

{"title":"权重加倍诱导的加权Bergman空间上的加权复合算子","authors":"Juntao Du, Songxiao Li, Yecheng Shi","doi":"10.7146/math.scand.a-119741","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators uCφ on Bergman type spaces Apω induced by a doubling weight ω. Let X={u∈H(D):uCφ:Apω→Apω is bounded}. For some regular weights ω, we obtain that X=H∞ if and only if ϕ is a finite Blaschke product.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Weighted composition operators on weighted Bergman spaces induced by doubling weights\",\"authors\":\"Juntao Du, Songxiao Li, Yecheng Shi\",\"doi\":\"10.7146/math.scand.a-119741\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators uCφ on Bergman type spaces Apω induced by a doubling weight ω. Let X={u∈H(D):uCφ:Apω→Apω is bounded}. For some regular weights ω, we obtain that X=H∞ if and only if ϕ is a finite Blaschke product.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7146/math.scand.a-119741\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7146/math.scand.a-119741","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

本文研究了由二重权ω引起的Bergman型空间Apω上的加权复合算子uCφ的有界性、紧致性、本质范数和Schatten类。设X={u∈H（D）:uCφ:Apω→Apω是有界的}。对于一些正则权ω，我们得到X=H∞当且仅当Γ是有限Blaschke乘积。

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

Weighted composition operators on weighted Bergman spaces induced by doubling weights

In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators uCφ on Bergman type spaces Apω induced by a doubling weight ω. Let X={u∈H(D):uCφ:Apω→Apω is bounded}. For some regular weights ω, we obtain that X=H∞ if and only if ϕ is a finite Blaschke product.

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