Mathematics > Functional Analysis
[Submitted on 1 Jun 2022]
Title:Ergodic behaviors of composition operators acting on space of bounded holomorphic functions
View PDFAbstract: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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