Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (5): 1151-1162.

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Bergman Type Operators on Logarithmic Weight General Function Spaces in Cn

Pengcheng Tang,Si Xu,Xuejun Zhang*()   

  1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410006
  • Received:2019-11-07 Online:2020-10-26 Published:2020-11-04
  • Contact: Xuejun Zhang E-mail:xuejunttt@263.net
  • Supported by:
    the NSFC(11571104);the Hunan Provincial Innovation Foundation for Postgraduate(CX2018B286)

Abstract:

Let B be the unit ball in Cn. In this paper, the authors characterize the boundedness of the Bergman type operators Ta, b on the logarithmic weight general function spaces F(p, q, s, k) or from spaces A(p, q, s, k) to spaces L(p, q, s, k).

Key words: Bergman type operators, Logarithmic weight general function space, Boundedness, Unit ball

CLC Number: 

  • O174.56
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