Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (5): 809-820.

    Next Articles

Compact Differences of Weighted Composition Operators on Bergman Spaces Aαp(Bn)

Wang Maofa1, Chen Fen1, Yao Xingxing1, Deng Fangwen2   

  1. 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072;
    2. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
  • Received:2015-11-30 Revised:2016-04-05 Online:2016-10-26 Published:2016-10-26
  • Supported by:

    Supported by the NSFC (11271293)

Abstract:

In this paper, we consider compact differences of weighted composition operators acting on the weighted Bergman spaces Aαp(Bn). Some necessary and sufficient conditions for the difference of two bounded weighted composition operators to be compact are given. Moreover, we also obtain some similar conditions for a sum of weighted composition operators.

Key words: Bergman space, Weighted composition operator, Compact difference

CLC Number: 

  • O174.5
Trendmd