Weighted Composition Operators on Weighted Bergman Spaces of Bounded Symmetric Domains

Proceedings Mathematical Sciences

Kanwar Jatinder Singh¹  Sanjay Kumar² 

[1] $$;Department of Mathematics, University of Jammu, Jammu 0 00, India$$

关键词: Bergman spaces;    bounded symmetric domain;    boundedness;    Carleson measure;    compactness;    Schatten 𝑝-class operator.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we study the weighted compositon operators on weighted Bergman spaces of bounded symmetric domains. The necessary and sufficient conditions for a weighted composition operator $W_{varphi,psi}$ to be bounded and compact are studied by using the Carleson measure techniques. In the last section, we study the Schatten 𝑝-class weighted composition operators.

【 授权许可】

Unknown