Bicomplex Weighted Bergman Spaces and Composition Operators

被引：0
|
作者：
Stanzin Dolkar
Sanjay Kumar
机构：
[1] Central University of Jammu,Department of Mathematics
来源：
Advances in Applied Clifford Algebras | 2023年 / 33卷
关键词：
Bicomplex holomorphic functions; Bicomplex weighted Bergman spaces; Composition operators; Kernel functions; 30G35; 46A22; 47A60;
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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).
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