Composition Operators Between Different Privalov Spaces on the Unit Ball |
Received:May 27, 2005 Revised:January 18, 2006 |
Key Words:
Privalov space $\eta$-Carleson measure composition operator.
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Fund Project:the National Natural Science Foundation of China (10371051); the Natural Science Foundation of Zhejiang Province (102025) |
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Abstract: |
Some sufficient and necessary conditions for the composition operators between different Privalov spaces and different weighted Bergman-Privalov spaces to be metrically bounded or metrically compact are given by using $\eta$-Carleson measure, and some function theoretic characterizations are also given. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2007.01.020 |
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