数学物理学报 ›› 2022, Vol. 42 ›› Issue (5): 1306-1319.

• 论文 • 上一篇    下一篇

正规权一般函数空间到Bloch型空间的复合算子

郭雨婷,张学军*()   

  1. 湖南师范大学数学与统计学院 长沙 410006
  • 收稿日期:2022-01-17 出版日期:2022-10-26 发布日期:2022-09-30
  • 通讯作者: 张学军 E-mail:xuejunttt@263.net
  • 基金资助:
    国家自然科学基金(11942109);湖南省自然科学基金(2022JJ30369)

Composition Operators from Normal Weight General Function Spaces to Bloch Type Spaces

Yuting Guo,Xuejun Zhang*()   

  1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410006
  • Received:2022-01-17 Online:2022-10-26 Published:2022-09-30
  • Contact: Xuejun Zhang E-mail:xuejunttt@263.net
  • Supported by:
    the NSFC(11942109);the NSFH(2022JJ30369)

摘要:

该文讨论了正规权一般函数空间到一种特殊的正规权Bloch型空间之间复合算子的有界性和紧性, 作者就所有情形给出了充要条件.

关键词: 复合算子, F(p, q, s) 型空间, Bloch型空间, 紧性, 有界性

Abstract:

In this paper, the boundedness and compactness of the composition operator from normal weight general function spaces to specific normal weight Bloch type spaces are investigated. The authors give the necessary and sufficient conditions for all cases.

Key words: Composition operator, F(p, q, s) type space, Bloch type space, Compactness, Boundedness

中图分类号: 

  • O174.56