Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 491-500.doi: 10.1016/S0252-9602(11)60250-6

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ON COMPACTNESS FOR ITERATED COMMUTATORS

 LIU Yong-Min, YU Yan-Yan   

  1. Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; School of Mathematics and Physics |Science, Xuzhou Institute of Technology, Xuzhou 221008, China
  • Received:2008-09-23 Revised:2009-04-02 Online:2011-03-20 Published:2011-03-20
  • Supported by:

    Supported by the National Natural Science Foundation of China (10471039)  and the Grant of Higher Schools'  Natural Science Basic Research of Jiangsu Province of China (06KJD110175; 07KJB110115)

Abstract:

The authors study  the iterated commutators on the weighted Bergman spaces A2(Φ), and  prove that Cn/h is compact on A2(Φ) if and only if  h ∈B0.

Key words: Weighted Bergman space, iterated commutator, normal function, little Bloch function, compactness

CLC Number: 

  • 47B38
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