Nuclear weighted composition operators on weighted Banach spaces of analytic functions-Reference-Cited by-同舟云学术

Nuclear weighted composition operators on weighted Banach spaces of analytic functions

Published:2020-09-18 Issue:1 Volume:149 Page:311-321
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bonet José,Gómez-Collado M.,Jordá Enrique,Jornet David

Abstract

We characterize nuclear weighted composition operators W ψ , φ f = ψ ( f ∘ φ ) W_{\psi ,\varphi }f=\psi (f\circ \varphi ) 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 Lefèvre on nuclear composition operators on Bloch spaces. Examples of nuclear as well as compact and non-nuclear weighted composition operators are given.

Funder

Ministerio de Economía y Competitividad

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2021-149-01/S0002-9939-2020-15223-9/proc15223_AM.pdf

Reference20 articles.

1. Weighted spaces of holomorphic functions on balanced domains;Bierstedt, Klaus D.;Michigan Math. J.,1993

2. Associated weights and spaces of holomorphic functions;Bierstedt, Klaus D.;Studia Math.,1998

3. Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions;Bonet, José;Canad. Math. Bull.,1999

4. Composition operators between weighted Banach spaces of analytic functions;Bonet, J.;J. Austral. Math. Soc. Ser. A,1998

5. Weighted composition operators in weighted Banach spaces of analytic functions;Contreras, M. D.;J. Austral. Math. Soc. Ser. A,2000

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-09-26

2. Invertible and Isometric Weighted Composition Operators;Mediterranean Journal of Mathematics;2022-06-23

3. ABSOLUTELY SUMMING WEIGHTED COMPOSITION OPERATORS ON BLOCH SPACES;J OPERAT THEOR;2022