Ergodic behaviors of composition operators acting on space of bounded holomorphic functions
Functional Analysis
2022-06-02 v1 Complex Variables
Abstract
We completely characterize the mean ergodic composition operators on . In particular, we show that a composition operator acting on this space is mean ergodic if and only if it is uniformly mean ergodic.
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Cite
@article{arxiv.2206.00341,
title = {Ergodic behaviors of composition operators acting on space of bounded holomorphic functions},
author = {Hamzeh Keshavarzi and Karim Hedayatian},
journal= {arXiv preprint arXiv:2206.00341},
year = {2022}
}
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12 pages