Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights

In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0<p<∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h-Schatten class, where h is...

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Bibliographic Details
Main Authors: Xuedi Ma, Xiaofeng Wang, Jin Xia
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2023/9436300
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Summary:In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0<p<∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h-Schatten class, where h is a continuous increasing convex function.
ISSN:2314-8888