Weighted composition operators: isometries and asymptotic behaviour
Functional Analysis
2020-02-11 v2
Abstract
This paper studies the behaviour of iterates of weighted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space . Questions relating to uniform, strong and weak convergence are resolved in many cases. Connected to this is the question when a weighted composition operators is an isometry, and new results are given in the case of the Hardy and Bergman spaces.
Cite
@article{arxiv.1910.01475,
title = {Weighted composition operators: isometries and asymptotic behaviour},
author = {I. Chalendar and J. R. Partington},
journal= {arXiv preprint arXiv:1910.01475},
year = {2020}
}
Comments
15 pages. Some corrections made