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Composition Operators on the Little Bloch Type Spaces and the μ-Bergman Spaces

Author: YiKuiYing
Tutor: ZhangXueJun
School: Hunan Normal University
Course: Basic mathematics
Keywords: Little Bloch type space μ-Bergman space composition operator boundedness compactness
CLC: O177
Type: Master's thesis
Year: 2008
Downloads: 13
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Abstract


This paper is devoted to discuss the composition operators on the little Bloch type spaces and that on theμ-Bergman spaces in the unit ball of C~n,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 operators.In Chapter 2,the boundedness and compactness of the composition operators between different little Bloch type spaces are discussed on the polydisc.The sufficient and necessary conditions of the boundedness and Compactness are obtained.In Chapter 3,for the normal functionμ,we will characterize thoseφfor C_φwhich are bounded(or compact) on theμ-Bergman space A~P(μ) in the unit ball of C~n.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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