数学物理学报 ›› 2016, Vol. 36 ›› Issue (5): 809-820.

• 论文 •    下一篇

Bergman空间Aαp(Bn)上加权复合算子的紧差

王茂发1, 陈芬1, 姚兴兴1, 邓方文2   

  1. 1. 武汉大学数学与统计学院 武汉 430072;
    2. 中国科学院武汉物理与数学研究所 武汉 430071
  • 收稿日期:2015-11-30 修回日期:2016-04-05 出版日期:2016-10-26 发布日期:2016-10-26
  • 通讯作者: 姚兴兴,E-mail:xxyao.math@whu.edu.cn E-mail:xxyao.math@whu.edu.cn
  • 作者简介:王茂发,E-mail:mfwang.math@whu.edu.cn;姚兴兴,E-mail:xxyao.math@whu.edu.cn
  • 基金资助:

    国家自然科学基金(11271293)资助

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)

摘要:

该文研究了Bergman空间Aαp(Bn)上加权复合算子差的紧性问题.给出了两个加权复合算子之差为紧算子的一些充分和必要判据.同时也给出了某个加权复合算子与有限个加权复合算子之和的差为紧算子的一个完全刻画.

关键词: Bergman空间, 加权复合算子, 紧差

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

中图分类号: 

  • O174.5