Boundedness and compactness for differences of composition operators between Bergman spaces on strongly pseudoconvex domains

被引：0

作者：

Ha, Ly Kim ^{[1
,2
]}

机构：

[1] Univ Sci VNU HCM, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ Ho Chi Minh City VNU HCM, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 549卷 / 01期

关键词：

Bergman space; Bergman kernel; Composition operator; Strong pseudoconvexity; WEIGHTED BANACH-SPACES; HARDY-SPACES; KERNEL;

D O I：

10.1016/j.jmaa.2025.129440

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with boundedness and compactness of differences of composition operators Cu - Cv between holomorphic Bergman spaces on strongly Levipseudoconvex domains in Cn. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：14

共 50 条

[31] LOCALIZATION OF COMPACTNESS OF HANKEL OPERATORS ON PSEUDOCONVEX DOMAINS
Sahutoglu, Soenmez
ILLINOIS JOURNAL OF MATHEMATICS, 2012, 56 (03) : 795 - 804
[32] Bergman–Toeplitz operators on weakly pseudoconvex domains
Tran Vu Khanh
Jiakun Liu
Phung Trong Thuc
Mathematische Zeitschrift, 2019, 291 : 591 - 607
[33] Differences of composition operators on weighted Bergman spaces
Ching-on Lo
Anthony Wai-keung Loh
Ricerche di Matematica, 2023, 72 : 815 - 833
[34] Differences of composition operators on weighted Bergman spaces
Lo, Ching-on
Loh, Anthony Wai-keung
RICERCHE DI MATEMATICA, 2023, 72 (02) : 815 - 833
[35] Hardy and Bergman Spaces on Hyperconvex Domains and Their Composition Operators
Poletsky, Evgeny A.
Stessin, Michael I.
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (05) : 2153 - 2201
[36] ON COMPACTNESS OF TOEPLITZ OPERATORS IN BERGMAN SPACES
Taskinen, Jari
Virtanen, Jani
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 59 (02) : 305 - 318
[37] Compact composition operators between weighted Bergman spaces on convex domains in ℂn
Peter R. Mercer
Integral Equations and Operator Theory, 1998, 31 : 482 - 488
[38] Compact composition operators between weighted Bergman spaces on convex domains in Cn
Mercer, PR
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1998, 31 (04) : 482 - 488
[39] Weighted composition operators between different Bergman spaces of bounded symmetric domains
Lv, Xiaofen
Tang, Xiaomin
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2009, 119 (04): : 521 - 529
[40] Weighted composition operators between different Bergman spaces of bounded symmetric domains
Xiaofen Lv
Xiaomin Tang
Proceedings - Mathematical Sciences, 2009, 119 : 521 - 529

← 1 2 3 4 5 →