Composition operators on the Bloch space of several complex variables

被引：62

作者：

Shi, JH ^{[1
]}

Luo, L ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Heifei 230036, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2000年 / 16卷 / 01期

关键词：

Bloch space; composition operator; Bergman metric;

D O I：

10.1007/s101149900028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the boundedness and compactness of composition operator C-phi on the Bloch space beta(Omega), Omega being a bounded homogeneous domain. For Omega = B-n, we give the necessary and sufficient conditions for a composition operator C-phi to be compact on beta(B-n) or beta(0)(B-n).

引用

页码：85 / 98

页数：14