双复加权Bergman空间与复合算子

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED Advances in Applied Clifford Algebras Pub Date : 2023-08-07 DOI:10.1007/s00006-023-01291-x

Stanzin Dolkar, Sanjay Kumar

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引用次数: 0

摘要

在本文中，我们研究了加权Bergman空间的双复数形式以及作用于它们的复合算子。我们还研究了Bergman核，对偶性质和Berezin变换。本文主要基于朱的工作（数学函数空间中的算子理论。调查与专著，第138卷，第2版。美国数学学会，普罗维登斯，2007）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bicomplex Weighted Bergman Spaces and Composition Operators

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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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.

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