Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions

被引：0
作者：
José Bonet
Mikael Lindström
Elke Wolf
机构：
[1] Universidad Politécnica de Valencia,Instituto Universitario de Matematica Pura y Aplicada IUMPA
[2] University of Oulu,UPV
[3] University of Paderborn,Department of Mathematical Sciences
来源：
Archiv der Mathematik | 2012年 / 99卷
关键词：
Primary 47H33; Secondary 46E15; 47B38; Weighted composition operators; Norm attaining operators; Weighted Banach spaces of holomorphic functions; Bloch spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H∞. Applications for composition operators on weighted Bloch spaces are given.
引用
收藏
页码：537 / 546
页数：9
相关论文
共 27 条
[1]  
Bierstedt K.D.(1993)Weighted spaces of holomorphic functions on bounded domains Michigan Math. J. 40 271-297
[2]  
Bonet J.(1998)Associated weights and spaces of holomorphic functions Studia Math. 127 137-168
[3]  
Galbis A.(1999)Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions Canad, Math. Bull. 42 139-148
[4]  
Bierstedt K.D.(1998)Composition operators between weighted Banach spaces of analytic functions J. Austral. Math. Soc. Ser. A 64 101-118
[5]  
Bonet J.(2008)Isometric weighted composition operators on weighted Banach spaces of type Proc. Amer. Math. Soc. 136 4267-4273
[6]  
Taskinen J.(2003)A note on weighted spaces of holomorphic functions Archiv Math. 81 650-654
[7]  
Bonet J.(2000)Weighted composition operators in weighted banach spaces of analytic functions J. Austral. Math. Soc. Ser. A 69 41-60
[8]  
Domański P.(2003)On the norm of a composition operator with linear fractional symbol Acta Sci. Math. (Szeged) 69 813-829
[9]  
Lindström M.(2001)Isolated points and essential components of composition operators on Proc. Amer. Math. Soc. 130 1765-1773
[10]  
Bonet J.(2005)Topological strusctures of the sets of composition operatorson the Bloch spaces J. Math. anal. Appl. 303 499-508
123