TITLE:
Compactness of Composition Operators from the p-Bloch Space to the q-Bloch Space on the Classical Bounded Symmetric Domains
AUTHORS:
Jianbing Su, Huijuan Li, Xingxing Miao, Rui Wang
KEYWORDS:
Bloch Space, Classical Bounded Symmetric Domains, Composition Operators, Compactness, Bergman Metric
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.12,
December
22,
2014
ABSTRACT: In this paper, we introduce the weighted Bloch spaces on the first type of classical bounded
symmetric domains , and
prove the equivalence of the norms and .
Furthermore, we study the compactness of composition operator from to , and
obtain a sufficient and necessary condition for
to be compact.