{"title":"bergman空间上压缩小hankel算子的酉部","authors":"N. Das, Satyajit Sahoo","doi":"10.59277/mrar.2023.25.75.2.247","DOIUrl":null,"url":null,"abstract":"In this paper, we consider little Hankel operators Γφ defined on the Bergman space L2 a(D) with symbol φ ∈ H∞(D) that are contractions. Necessary and sufficient conditions are obtained for the existence of a nontrivial unitary part of these little Hankel","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"9 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"UNITARY PARTS OF CONTRACTIVE LITTLE HANKEL OPERATORS ON THE BERGMAN SPACE\",\"authors\":\"N. Das, Satyajit Sahoo\",\"doi\":\"10.59277/mrar.2023.25.75.2.247\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider little Hankel operators Γφ defined on the Bergman space L2 a(D) with symbol φ ∈ H∞(D) that are contractions. Necessary and sufficient conditions are obtained for the existence of a nontrivial unitary part of these little Hankel\",\"PeriodicalId\":49858,\"journal\":{\"name\":\"Mathematical Reports\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Reports\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.59277/mrar.2023.25.75.2.247\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.2.247","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
UNITARY PARTS OF CONTRACTIVE LITTLE HANKEL OPERATORS ON THE BERGMAN SPACE
In this paper, we consider little Hankel operators Γφ defined on the Bergman space L2 a(D) with symbol φ ∈ H∞(D) that are contractions. Necessary and sufficient conditions are obtained for the existence of a nontrivial unitary part of these little Hankel
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The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.
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