数学物理学报(英文版)

• 论文 • 上一篇    下一篇

COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES

王茂发,刘培德   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    This research is supported by the National Natural
    Science Foundation of China.

COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES

 WANG Mao-Fa, LIU Pei-De   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    This research is supported by the National Natural
    Science Foundation of China.

摘要:

This paper studies the collective compactness of composition operator se-
quences between the Bergman and Hardy spaces. Some sufficient and necessary conditions
involving the generalized Nevanlinna counting functions for composition operator sequences
to be collectively compact between weighted Bergman spaces are given.

Abstract:

This paper studies the collective compactness of composition operator se-
quences between the Bergman and Hardy spaces. Some sufficient and necessary conditions
involving the generalized Nevanlinna counting functions for composition operator sequences
to be collectively compact between weighted Bergman spaces are given.

Key words: Bergman space, Hardy space, composition operator, collectively compact,operator sequence

中图分类号: 

  • 47B35