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.  
Fund Project:the National Natural Science Foundation of China (10371051); the Natural Science Foundation of Zhejiang Province (102025)
Author NameAffiliation
LI Song-xiao Deptartment of Mathematics., Shantou University, Guangdong 515063, China
Department of Mathematics, Jiaying University, Guangdong 514015, China 
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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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