DIFFERENCE OF COMPOSITION OPERATORS ON THE BERGMAN SPACES OVER THE BALL

被引：2
|
作者：
Wang, Maofa [1 ]
Guo, Xin [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
OPERATORS AND MATRICES | 2018年 / 12卷 / 04期
基金：
美国国家科学基金会;
关键词：
Bergman space; weighted composition operator; compact difference; WEIGHTED COMPOSITION OPERATORS; COMPACT DIFFERENCES; LINEAR-COMBINATIONS;
D O I：
10.7153/oam-2018-12-71
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper characterizes the compactness of a linear combination of three composition operators on A(alpha)(p)(B-N), the weighted Bergman space over the unit ball B-N in C-N. In this setting, we show that there is no cancellation property for the compactness of double difference of composition operators, which extends Koo-Wang's results over the unit disk in [13]. In addition, we investigate the compactness and essential norm estimate of the differences of weighted composition operators between weighted Bergman spaces.
引用
收藏
页码：1177 / 1197
页数：21
相关论文
共 50 条
  • [21] Difference of Weighted Composition Operators Over the Ball
    Boo Rim Choe
    Koeun Choi
    Hyungwoon Koo
    Inyoung Park
    Complex Analysis and Operator Theory, 2024, 18
  • [22] Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk
    Bayart, Frederic
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018, 165 (01) : 69 - 91
  • [23] Bergman type operators on mixed norm spaces over the ball in a",n
    Avetisyan, K. L.
    Gapoyan, N. T.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2016, 51 (05): : 242 - 248
  • [24] Bergman type operators on mixed norm spaces over the ball in ℂn
    K. L. Avetisyan
    N. T. Gapoyan
    Journal of Contemporary Mathematical Analysis, 2016, 51 : 242 - 248
  • [25] COMPOSITION OPERATORS ON BERGMAN SPACES
    J.H.CLIFFORD
    Chinese Annals of Mathematics, 2003, (04) : 433 - 448
  • [26] Composition operators on Bergman spaces
    Clifford, JH
    Zheng, DC
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (04) : 433 - 448
  • [27] ON COMPACTNESS OF COMPOSITION OPERATORS ON BERGMAN SPACES OVER PLANAR DOMAINS
    Chen, Yong
    Huang, Hansong
    Li, Shan
    HOUSTON JOURNAL OF MATHEMATICS, 2022, 48 (02): : 319 - 336
  • [28] Composition operators on distinct Bergman spaces over planar domains
    Li, Shan
    Huang, Hansong
    NEW YORK JOURNAL OF MATHEMATICS, 2020, 26 : 1184 - 1212
  • [29] Composition operators over weighted Bergman spaces of Dirichlet series
    Wang, Maofa
    He, Min
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (05) : 795 - 815
  • [30] Compact composition operators acting between weighted Bergman spaces of the unit ball
    Sei-ichiro Ueki
    Archiv der Mathematik, 2009, 93 : 461 - 473
12345