Compact Operators on Weighted Bergman Spaces of the Unit Ball
Received:November 07, 2009  Revised:April 26, 2010
Key Words: compact operator   unit ball   weighted Bergman space.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10671028; 10971020).
Author NameAffiliation
Jun YANG College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, P. R. China 
Yu Feng LU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper, we study the compact operators on weighted Bergman spaces of the unit ball. Extending Miao and Zheng'result in 2004, we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergman spaces of the unit ball under some integrable conditions.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.01.010
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