{"title":"On compactness of Toeplitz operators in Bergman spaces","authors":"J. Taskinen, J. Virtanen","doi":"10.7169/FACM/1727","DOIUrl":null,"url":null,"abstract":"In this paper we consider Toepliz operators with (locally) integrable symbols acting on Bergman spaces Ap (1<p<∞) of the open unit disc of the complex plane. We give a characterization of compact Toeplitz operators with symbols in L1 under a mild additional condition. Our result is new even in the Hilbert space setting of A2, where it extends the well-known characterization of compact Toeplitz operators with bounded symbols by Stroethoff and Zheng.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.7169/FACM/1727","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7169/FACM/1727","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper we consider Toepliz operators with (locally) integrable symbols acting on Bergman spaces Ap (1
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