Composition Operators on the Bloch Space of Several Complex Variables

Citation
Shi, Jihuai et Luo, Luo, Composition Operators on the Bloch Space of Several Complex Variables, Acta mathematica Sinica. English series (Print) , 16(1), 2000, pp. 85-98
ISSN journal
14398516
Volume
16
Issue
1
Year of publication
2000
Pages
85 - 98
Database
ACNP
SICI code
Abstract
In this paper, we study the boundedness and compactness of composition operator C . on the Bloch space .(.), . being a bounded homogeneous domain. For . = B n, we give the necessary and sufficient conditions for a composition operator C . to be compact on .(B n) or . 0(B n).