Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (3): 513-524.

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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)

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

CLC Number: 

  • O177.1
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