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Compactness of Composition Operators from the p-Bloch Space to the q-Bloch Space on the Classical Bounded Symmetric Domains
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
- 1 School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
- 2 School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
- 3 School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
- 4 School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China
Advances in Pure Mathematics·Volume 04 (2014)·Pages 649–664·Published 18 December 2014·DOI10.4236/apm.2014.412074
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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.
KeywordsBloch SpaceClassical Bounded Symmetric DomainsComposition OperatorsCompactnessBergman Metric
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