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

页码：311 / 321

页数：11

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