Compactness of Composition Operators from the p-Bloch Space to the q-Bloch Space on the Classical Bounded Symmetric Domains

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.

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Su, J. , Li, H. , Miao, X. and Wang, R. (2014) Compactness of Composition Operators from the p-Bloch Space to the q-Bloch Space on the Classical Bounded Symmetric Domains. Advances in Pure Mathematics, 4, 649-664. doi: 10.4236/apm.2014.412074.

Conflicts of Interest

The authors declare no conflicts of interest.

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