Atomic Decomposition and Composition Operators on Variable Exponent Bergman Spaces

In this paper, we study the atomic decomposition for variable exponent Bergman spaces. We also give some characterizations for the boundedness and compactness of composition operators on these spaces, which corrects a result by Morovatpoor and Abkar in (Mediterr. J. Math. 17:9, 2020). Furthermore, w...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2022-02, Vol.19 (1), Article 10
Main Authors: Yang, Zi-cong, Zhou, Ze-hua
Format: Article
Language:English
Subjects:
Composition
Decomposition
Mathematics
Mathematics and Statistics
Operators
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Summary:In this paper, we study the atomic decomposition for variable exponent Bergman spaces. We also give some characterizations for the boundedness and compactness of composition operators on these spaces, which corrects a result by Morovatpoor and Abkar in (Mediterr. J. Math. 17:9, 2020). Furthermore, we investigate the difference of two composition operators on variable exponent Bergman spaces.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01885-4