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arXiv · 2206.00341

Ergodic behaviors of composition operators acting on space of bounded holomorphic functions

Hamzeh Keshavarzi·Karim Hedayatian
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Abstract

We completely characterize the mean ergodic composition operators on $H^\infty(\mathbb{B}_n)$. 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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Hamzeh Keshavarzi, Karim Hedayatian. 2022-06-01. Ergodic behaviors of composition operators acting on space of bounded holomorphic functions. https://arxiv.org/abs/2206.00341

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