On the composition operators on the Bloch space of several complex variables 被引量：6

On the composition operators on the Bloch space of several complex variables

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摘要 In this paper we first look upon some known results on the composition operator as bounded or compact on the Bloch-type space in polydisk and ball, and then give a sufficient and necessary condition for the composition operator to be compact on the Bloch space in a bounded symmetric domain. In this paper we first look upon some known results on the composition operator as bounded or compact on the Bloch-type space in polydisk and ball, and then give a sufficient and necessary condition for the composition operator to be compact on the Bloch space in a bounded symmetric domain.

作者 ZHOU Zehua & CHE Renyu Department of Mathematics, Tianjin University, Tianjin 300072, China LiuHui Center for Applied Mathematics, Nankai University & Tianjin University,Tianjin 300072, China

出处《Science China Mathematics》 SCIE 2005年第z1期392-399,共8页 中国科学：数学（英文版）

基金 supported in part by the National Natural Science Foundation of China(Grand No.10371091) LiuHui Center for Applied Mathematics,Nankai University&Tianjin University.

关键词 BLOCH space BOUNDED SYMMETRIC domains composition operator BERGMAN metric. Bloch space, bounded symmetric domains, composition operator, bergman metric.

分类号 O177 [理学—基础数学]

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On the composition operators on the Bloch space of several complex variables 被引量：6

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