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Composition Operators on the Bergman Space with Quasiconformal Symbols

Xiang Fang,Kunyu Guo,Zipeng Wang

JOURNAL OF GEOMETRIC ANALYSIS（2023）

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Abstract
This paper introduces and studies composition operators on the Bergman space with quasiconformal symbols. We first characterize the boundedness of the norms. Then we discuss operator-theoretic issues including compactness characterization, essential norms, Schatten class membership, and conditions for closed ranges.
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Key words
Composition operator,Bergman space,Quasiconformal mapping,Carleson box
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