Bicomplex Weighted Bergman Spaces and Composition Operators

被引：0

作者：

Dolkar, Stanzin ^{[1
]}

Kumar, Sanjay ^{[1
]}

机构：

[1] Cent Univ Jammu, Dept Math, Jammu 181143, Jammu & Kashmir, India

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2023年 / 33卷 / 04期

关键词：

Bicomplex holomorphic functions; Bicomplex weighted Bergman spaces; Composition operators; Kernel functions;

D O I：

10.1007/s00006-023-01291-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the bicomplex version of weighted Bergman spaces and the composition operators acting on them. We also investigate the Bergman kernel, duality properties and Berezin transform. This paper is essentially based on the work of Zhu (Operator Theory in Function Spaces of Math. Surveys and Monographs, vol. 138, 2nd edn. American Mathematical Society, Providence, 2007).

引用

页数：22

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