Composition Operators From B0 to QK and QK,0 Spaces  

作　　者：GUO Jian LIU Yong-min 

机构地区：[1]Department of Basic Courses, Xuzhou Professional of Architectural Technologies, Xuzhou 221116, China [2]College of Mathematics and Science, Xuzhou Normal University, Xuzhou 221116, China

出　　处：《Chinese Quarterly Journal of Mathematics》2010年第1期86-91,共6页数学季刊（英文版）

基　　金：Foundation item： Supported by the Natural Science Foundation of China（10471039）; Supported by the Natural Science Foundation of the Education Committee of Jiangsu Province of China（06KJD110175; 07KJB110115）; Supported by the Scientific Research Foundation of Xuzhou professional of Architectural Technologies（07JYA3-13） Acknowledgment The authors thank the referees and the editors for good advice on this paper. The second author also thanks professors Shaozong Yan and Xiaoman Chen for their encouragement and help while visiting in Fudan university.

摘　　要：When φ is an analytic map of the unit disk D into itself,and X is a Banach space of analytic functions on D,define the composition operator Cφ by Cφ(f) = f οφ,for f ∈ X.In this paper,we study the boundedness and compactness of composition operators from the space B0 to QK and QK,0.When φ is an analytic map of the unit disk D into itself,and X is a Banach space of analytic functions on D,define the composition operator Cφ by Cφ（f） = f ο φ,for f ∈ X.In this paper,we study the boundedness and compactness of composition operators from the space B0 to QK and QK,0.

关 键 词：bounded operator compact operator composition operator analytic function 

分 类 号：O174.2[理学—数学] O174.5[理学—基础数学]