Composition operators between weighted Banach spaces of analytic functions

被引：132
|
作者：
Bonet, J [1 ]
Domanski, P
Lindstrom, M
Taskinen, J
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland
[3] Abo Akad Univ, Dept Math, FIN-20500 Turku, Finland
[4] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1998年 / 64卷
关键词：
D O I：
10.1017/S1446788700001336
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize those analytic self-maps phi of the unit disc which generate bounded or compact composition operators C-phi between given weighted Banach spaces H-upsilon(infinity) or H-upsilon(0) of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights upsilon.
引用
收藏
页码：101 / 118
页数：18
相关论文
共 50 条
  • [31] Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
    Wolf, Elke
    ANNALES POLONICI MATHEMATICI, 2009, 96 (01) : 43 - 50
  • [32] Superposition operators between weighted Banach spaces of analytic functions of controlled growth
    Bonet, Jose
    Vukotic, Dragan
    MONATSHEFTE FUR MATHEMATIK, 2013, 170 (3-4): : 311 - 323
  • [33] Weighted Composition Operators Between Weighted Bloch Type Spaces and Weighted Banach Spaces of Holomorphic Functions
    Wolf, Elke
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2009, 30 (5-6) : 646 - 651
  • [34] Hypercyclicity of Composition Operators on Banach Spaces of Analytic Functions
    Colonna, Flavia
    Martinez-Avendano, Ruben A.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (01) : 305 - 323
  • [35] Hypercyclicity of Composition Operators on Banach Spaces of Analytic Functions
    Flavia Colonna
    Rubén A. Martínez-Avendaño
    Complex Analysis and Operator Theory, 2018, 12 : 305 - 323
  • [36] Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions
    Bonet, Jose
    Galindo, Pablo
    Lindstrom, Mikael
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (02) : 884 - 891
  • [37] Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions
    Bonet, J
    Domanski, P
    Lindström, M
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1999, 42 (02): : 139 - 148
  • [38] Composition operators on weighted Banach spaces of entire functions
    Tien, Pham Trong
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (09) : 1517 - 1533
  • [39] Volterra operators and semigroups in weighted Banach spaces of analytic functions
    Basallote, Manuela
    Contreras, Manuel D.
    Hernandez-Mancera, Carmen
    Martin, Maria J.
    Paul, Pedro J.
    COLLECTANEA MATHEMATICA, 2014, 65 (02) : 233 - 249
  • [40] Volterra operators and semigroups in weighted Banach spaces of analytic functions
    Manuela Basallote
    Manuel D. Contreras
    Carmen Hernández-Mancera
    María J. Martín
    Pedro J. Paúl
    Collectanea Mathematica, 2014, 65 : 233 - 249
12345