数学物理学报 ›› 2024, Vol. 44 ›› Issue (3): 513-524.

• •    下一篇

向量值指数型权 Bergman 空间上的 Hankel 算子

董建祥()   

  1. 大连理工大学数学科学学院 辽宁大连 116024
  • 收稿日期:2023-05-17 修回日期:2023-10-07 出版日期:2024-06-26 发布日期:2024-05-17
  • 作者简介:董建祥: Email: jianxd@mail.dlut.edu.cn
  • 基金资助:
    国家自然科学基金(12031002);天水师范学院青年创新项目(CXT2019-03)

Hankel Operators on Vector-Valued Bergman Space with Exponential Type Weights

Dong Jianxiang()   

  1. School of Mathematical Sciences, Dalian University of Technology, Liaoning Dalian 116024
  • Received:2023-05-17 Revised:2023-10-07 Online:2024-06-26 Published:2024-05-17
  • Supported by:
    NSFC(12031002);YInnovation Project of Tianshui Normal University(CXT2019-03)

摘要:

该文研究了由算子值函数符号和余解析算子值函数符号诱导的向量值指数型权Bergman空间 $A^{2}_{\varphi}(\mathcal{H})$ 上Hankel算子的一些性质. 主要结果包括Hankel算子的有界性和紧性.

关键词: Hankel算子, Bergman空间, 有界性, 紧性

Abstract:

In this paper, we study some characterizations of Hankel operators on vector-valued exponential type weights Bergman spaces $A^{2}_{\varphi}(\mathcal{H})$ induced by operator-valued function symbols and co-analytic operator-valued function symbols. Main results including the boundedness and compactness of Hankel operators.

Key words: Hankel Operators, Bergman space, Boundedness, Compactness

中图分类号: 

  • O177.1