Composition Operators on the Bloch Space of Several Complex Variables

作     者：Jihuai Shi Luo Luo Department of Mathematics,University of Science and Technology of China,Heifei 230036,P.R.China Fax:(0551)3631760 

作者机构：Department of Mathematics University of Science and Technology of China Heifei 230036 P.R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2000年第16卷第1期

页      面：85-98页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation the National Education Committee Doctoral Foundation 

主　　题：Bloch space Composition operator Bergman metric 

摘      要：In this paper,we study the boundedness and compactness of composition operator C on the Bloch space β（Ω）,Ω being a bounded homogeneous *** Ω=Bn,we give the necessary and sufficient conditions for a composition operator C to be compact on β（Bn）or β0（Bn）.