NUCLEAR WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF ANALYTIC FUNCTIONS

被引：3
|
作者：
Bonet, Jose [1 ]
Carmen Gomez-Collado, M. [1 ]
Jorda, Enrique [2 ]
Jornet, David [1 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada IUMPA, Camino Vera S-N, E-46071 Valencia, Spain
[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada IUMPA, EPS Alcoy, Plaza Ferrandiz & Carbonell S-N, E-03801 Alcoy, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 01期
关键词：
BOUNDED PROJECTIONS; MULTIPLIERS; COMPACT; DUALITY;
D O I：
10.1090/proc/15223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize nuclear weighted composition operators W psi,phi f = psi(f circle phi) on weighted Banach spaces of analytic functions with sup-norms. Consequences about nuclear composition operators on Bloch type spaces are presented. They extend previous work by Fares and Lef`evre on nuclear composition operators on Bloch spaces. Examples of nuclear as well as compact and non-nuclear weighted composition operators are given.
引用
收藏
页码：311 / 321
页数：11
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