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Composition Type Operators On Several Holomorphic Function Spaces

Posted on:2009-02-10Degree:MasterType:Thesis
Country:ChinaCandidate:J X LiFull Text:PDF
GTID:2120360245466569Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper is devoted to composition type operators on holomorphic functionspaces on Cn.It consists of three chapters.In Chapter 1,the background and present conditions are introduced and summarized for the study of boundedness and compactness of composition type operators.In Chapter 2,the boundedness and compactness of Composition operator C? from general fuction space F(p,q,s)to Bloch-type spaceβαis discussed on the unit ball B.For all 0? to be bounded and compact fromβμspace toβνspace onthe unit ball of Cn.
Keywords/Search Tags:Composition operator, Weighted Composition operator, F(p, q, s) space, boundedness, compactness, μ-Bloch space
PDF Full Text Request
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