Composition Operators on the Bergman Space with Quasiconformal Symbols

Xiang Fang; Kunyu Guo; Zipeng Wang

doi:10.1007/s12220-022-01172-y

Composition Operators on the Bergman Space with Quasiconformal Symbols

Xiang Fang
, Kunyu Guo
, Zipeng Wang^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	125
Journal	Journal of Geometric Analysis
Volume	33
Issue number	4
DOIs	https://doi.org/10.1007/s12220-022-01172-y
State	Published - Apr 2023

Keywords

Bergman space
Carleson box
Composition operator
Quasiconformal mapping

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10.1007/s12220-022-01172-y

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title = "Composition Operators on the Bergman Space with Quasiconformal Symbols",

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.",

keywords = "Bergman space, Carleson box, Composition operator, Quasiconformal mapping",

author = "Xiang Fang and Kunyu Guo and Zipeng Wang",

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T1 - Composition Operators on the Bergman Space with Quasiconformal Symbols

AU - Fang, Xiang

AU - Guo, Kunyu

AU - Wang, Zipeng

PY - 2023/4

Y1 - 2023/4

N2 - 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.

AB - 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.

KW - Bergman space

KW - Carleson box

KW - Composition operator

KW - Quasiconformal mapping

UR - https://www.scopus.com/pages/publications/85147352865

U2 - 10.1007/s12220-022-01172-y

DO - 10.1007/s12220-022-01172-y

M3 - Article

AN - SCOPUS:85147352865

SN - 1050-6926

VL - 33

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 4

M1 - 125

ER -

Composition Operators on the Bergman Space with Quasiconformal Symbols

Abstract

Keywords

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