Difference of composition operators on spaces of vector-valued holomorphic functions

被引：3

作者：

Guo, Xin ^{[1
]}

Wang, Maofa ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 02期

基金：

美国国家科学基金会;

关键词：

Composition operator; Difference; Vector-valued Bergman space; Vector-valued Fock space; COMPACT COMPOSITION OPERATORS; HARMONIC-FUNCTIONS; ESSENTIAL NORM; BERGMAN; HARDY;

D O I：

10.1016/j.jmaa.2021.125568

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we completely characterize the boundedness of difference of weighted composition operators between weak and strong vector-valued Bergman spaces in three terms: one is a function theoretic characterization of Julia-Caratheodory type, the second is a power type characterization and the other is a measure theoretic characterization of Carleson type. Furthermore, the bounded difference of composition operators is investigated for corresponding vector-valued Fock space case, which is in sharp contrast with some phenomenon on the setting of vector-valued Bergman space. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：24

共 41 条

[1] Compact and Hilbert-Schmidt Differences of Weighted Composition Operators
Acharyya, Soumyadip
Wu, Zhijian
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 88 (04) : 465 - 482
[2] [Anonymous], 2007, MATH SURVEYS MONOGRA, V138
[3] Bergman and Bloch spaces of vector-valued functions
Arregui, JL
Blasco, O
[J]. MATHEMATISCHE NACHRICHTEN, 2003, 261 : 3 - 22
[4] BOUNDARY-VALUES OF VECTOR-VALUED HARMONIC-FUNCTIONS CONSIDERED AS OPERATORS
BLASCO, O
[J]. STUDIA MATHEMATICA, 1987, 86 (01) : 19 - 33
[5] Blasco O., 2005, Univ. Joensuu Dept. Math. Rep. Ser., V8, P9
[6] Blasco O., 2020, COMPLEX ANAL OPER TH, V14
[7] OPERATORS ON FOCK-TYPE AND WEIGHTED SPACES OF ENTIRE FUNCTIONS
Blasco, Oscar
[J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 59 (02) : 175 - 189
[8] Bommier-Hato H, 2018, INTEGR EQUAT OPER TH, V90, DOI 10.1007/s00020-018-2433-y
[9] Bonet J, 2001, ANN ACAD SCI FENN-M, V26, P233
[10] Bukhvalov A. V., 1982, MAT ZAMETKI, V31, P317

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