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To Hyperbolic the Q_ ( T , s ) space and analytic function spaces on operator theory

Author: TanXingJuan
Tutor: TanHaiOu
School: Wuyi University
Course: Applied Mathematics
Keywords: Q_K space QT s space Hyperbolic QT s space Blog space B ~~ alpha space Blogβ space Composition Operators Volterra operator Boundedness Compactness
CLC: O177
Type: Master's thesis
Year: 2010
Downloads: 13
Quote: 0
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Abstract


Wu Pengcheng Bloch functions and normal functions in the article \Characterizations of the QK Spaces \Has QK space and QK space is a complex function of the geometric theory research hot spots, there are many problems yet to be resolved . Recently, Ulan Haas and Zucker and do a lot of research on the nature of the composition operator between the QK space and other space , such as the Ulan Haas and Wu Pengcheng given composite operator from the Bloch space to the QK space Boundedness and compactness portrayed , Cheng Xun Hui Wen weighted Bloch space to the QK space composition operator discussed in the weighted Bloch space ( weighted Bloch space ) and QK between composite operator sub Cφ bounded . The 2009 week rivers in the text on the QT resolve QT s space s space concept and research on the relationship in this space . In recent years, the study of the hyperbolic function space also become a hot topic , in 2003 , Li Xiaonan Thesis hyperbolic Qp space and its elementary nature Preliminary . In this thesis consists of four parts : the first chapter of the second chapter introduces the research background of function space and its operator theory and some major research . Chapter III will hyperbolic derivative with QT s space combining the introduction of Hyperbolic QT s space QT , s * , the system studied some basic properties of the space , the Carleson measures including the use of the space portrayed . Chapter Blog ( B0 , log ) number of Bloch space on the unit circle and space QT S composite operator Cφ sector and compactness of necessary and sufficient conditions . Chapter V focuses on weighted Bloch space Blogβ Volterra operator from the Bloch space Bα boundedness and compactness necessary and sufficient conditions .

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