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

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	???core.languages.en_GB???
文章編號	125
期刊	Journal of Geometric Analysis
卷	33
發行號	4
DOIs	https://doi.org/10.1007/s12220-022-01172-y
出版狀態	已出版 - 4月 2023

存取文件

10.1007/s12220-022-01172-y

隨機加權位移(2/2)
Fang, X. (PI)
1/08/18 → 31/07/19
研究計畫: Research

引用此

@article{e41804ec18034d0eab2317793978b4a2,

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",

note = "Publisher Copyright: {\textcopyright} 2022, Mathematica Josephina, Inc.",

year = "2023",

month = apr,

doi = "10.1007/s12220-022-01172-y",

language = "???core.languages.en\_GB???",

volume = "33",

journal = "Journal of Geometric Analysis",

issn = "1050-6926",

number = "4",

}

TY - JOUR

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 - 期刊論文

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

摘要

存取文件

指紋

專案

隨機加權位移(2/2)

引用此