COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS |
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Authors: | Lv Xiaofen Hu Zhangjian |
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Institution: | Lv Xiaofen Hu Zhangjian Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China |
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Abstract: | In this article, we borrow the idea of using Schur’s test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetric domain Ω, and verify that Cφ is compact on L q a (Ω, dv β ) if and only if K ( φ ( z ) ,φ ( z )) K ( z,z ) → 0 as z → φΩ under a mild condition, where K(z, w) is the Bergman kernel. |
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Keywords: | Composition operator weighted Bergman space bounded symmetric domains |
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