Author:
Chalendar Isabelle, ,Partington Jonathan R.,
Abstract
This paper studies the behaviour of iterates of weigh\-ted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space H2. Questions relating to uniform, strong and weak convergence are resolved in many cases. Connected to this is the question when a weighted composition operator is an isometry, and new results are given in the case of the Hardy and Bergman spaces.
Subject
Algebra and Number Theory
Cited by
6 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. Linear isometries of Hol(D);Journal of Mathematical Analysis and Applications;2024-12
2. Weighted composition operators on the Fock space: iteration and semigroups;Acta Scientiarum Mathematicarum;2023-02-24
3. Asymptotic Müntz–Szász theorems;Studia Mathematica;2023
4. Semigroups of Weighted Composition Operators on Spaces of Holomorphic Functions;Lectures on Analytic Function Spaces and their Applications;2023
5. Monomial operators;Acta Scientiarum Mathematicarum;2022-08