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Composition Operators On Weighted Bergman Spaces Of Dirichlet Series

Posted on:2022-11-11Degree:MasterType:Thesis
Country:ChinaCandidate:C Y WangFull Text:PDF
GTID:2480306767457024Subject:Mathematics
Abstract/Summary:
Recently,the investigation of composition operators on the holomorphic function spaces which consists of Dirichlet series has been a topic of growing interest.In this paper we first study the compactness of composition operators Cφ on weighted Bergman spaces of Dirichlet series Aμ~2 in terms of Hilbert-Schmidt operators and unitary equiv-alence.Then,we pay attention to the boundedness of Cφ on weighted Bergman spaces of Dirichlet series Aμ~2.
Keywords/Search Tags:Composition operator, weighted Bergman space, Dirichlet series, boundedness, compactness, Hilbert-Schmidt operator
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