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Space of analytic functions and operator theory

Author: Zou
Tutor: TanHaiOu
School: Wuyi University
Course: Applied Mathematics
Keywords: Weighted Composition Operators Generalized composite operator Weighted Bloch Spaces Zygmund space Weighted Bergman space BMOA space Weighted BMOA space Boundedness Compactness qT, s space QT, s # space
CLC: O174
Type: Master's thesis
Year: 2010
Downloads: 12
Quote: 0
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Abstract


In this thesis, a weighted composite operators in the space of several analytic functions on the unit disk D in the complex plane and the generalized composite operator , and discuss the holomorphic function space QT, s and its meromorphic situation , text by five chapters. The first chapter , we introduce the content and framework of the thesis . The second chapter , gives the operator involved and the concept of space . Chapter III study Zygmund space to the weighted Bloch space boundedness and compactness of weighted composition operator on weighted Bergman space to the weighted Bloch space , and gives the operator is tight or bounded The necessary and sufficient conditions . Chapter 4 , research BMOA space into the weighted Bloch space boundedness and compactness of generalized composition operator on weighted Bloch space to a weighted BMOA space , and gives the operator is tight or bounded The necessary and sufficient conditions . Chapter to study a class of holomorphic function space QT , QT, s # s and sub pure case of the basic properties of the space .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions
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