Cn中对数权一般函数空间上的Bergman型算子

摘要/Abstract

摘要：

设B是Cⁿ中的单位球，该文就B上对数权一般函数空间F（p，q，s，k）到本身或者从空间A（p，q，s，k）到L（p，q，s，k）刻画了Bergman型算子T_a，b的有界性.

关键词: Bergman型算子, 对数权一般函数空间, 有界性, 单位球

Abstract:

Let B be the unit ball in Cⁿ. In this paper, the authors characterize the boundedness of the Bergman type operators T_{a, 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

中图分类号:

O174.56

唐鹏程,徐思,张学军. Cⁿ中对数权一般函数空间上的Bergman型算子[J]. 数学物理学报, 2020, 40(5): 1151-1162.

Pengcheng Tang,Si Xu,Xuejun Zhang. Bergman Type Operators on Logarithmic Weight General Function Spaces in Cⁿ[J]. Acta mathematica scientia,Series A, 2020, 40(5): 1151-1162.

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Cⁿ中对数权一般函数空间上的Bergman型算子

Bergman Type Operators on Logarithmic Weight General Function Spaces in Cⁿ

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