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arXiv · 2211.13048

Disjoint frequent hypercyclicity of composition operators

Frédéric Bayart
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Abstract

We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on $H(\mathbb D)$ or on the Hardy space $H^2(\mathbb D)$. We simplify a result on disjoint frequent hypercyclicity of pseudo shifts of a recent paper of Martin et al. and we exhibit two disjointly frequently hypercyclic weighted shifts.

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Frédéric Bayart. 2022-11-23. Disjoint frequent hypercyclicity of composition operators. https://arxiv.org/abs/2211.13048

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