WEAKLY COMPACT DIFFERENCES OF (WEIGHTED) COMPOSITION OPERATORS

被引:1
|
作者
Wolf, Elke [1 ]
机构
[1] Univ Paderborn, Math Inst, Warburger Str 100, D-33100 Paderborn, Germany
关键词
Weakly compact; weighted composition operator; weighted Bergman space of infinite order;
D O I
10.1142/S1793557111000575
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that weakly compact differences of (weighted) composition operators acting between weighted Bergman spaces of infinite order are automatically compact.
引用
收藏
页码:695 / 703
页数:9
相关论文
共 50 条
  • [1] Compact differences of weighted composition operators
    Liu, Bin
    Rattya, Jouni
    COLLECTANEA MATHEMATICA, 2022, 73 (01) : 89 - 105
  • [2] Compact differences of weighted composition operators
    Bin Liu
    Jouni Rättyä
    Collectanea Mathematica, 2022, 73 : 89 - 105
  • [3] Compact and weakly compact weighted composition operators on weighted spaces of continuous functions
    J. S. Manhas
    R. K. Singh
    Integral Equations and Operator Theory, 1997, 29 : 63 - 69
  • [4] Compact and weakly compact weighted composition operators on weighted spaces of continuous functions
    Manhas, JS
    Singh, RK
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 1997, 29 (01) : 63 - 69
  • [5] Weakly compact composition operators between weighted spaces
    Garcia, Domingo
    Maestre, Manuel
    Sevilla-Peris, Pablo
    NOTE DI MATEMATICA, 2006, 25 (01): : 205 - 220
  • [6] Compact differences of weighted composition operators on the weighted Bergman spaces
    Maocai Wang
    Xingxing Yao
    Fen Chen
    Journal of Inequalities and Applications, 2017
  • [7] Compact differences of weighted composition operators on the weighted Bergman spaces
    Wang, Maocai
    Yao, Xingxing
    Chen, Fen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [8] Weakly compact weighted composition operators on spaces of Lipschitz functions
    Golbaharan, A.
    POSITIVITY, 2018, 22 (05) : 1265 - 1268
  • [9] Weakly compact weighted composition operators on spaces of Lipschitz functions
    A. Golbaharan
    Positivity, 2018, 22 : 1265 - 1268
  • [10] Compact differences of composition operators on weighted Dirichlet spaces
    Allen, Robert F.
    Heller, Katherine C.
    Pons, Matthew A.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (07): : 1040 - 1051