Disjoint frequent hypercyclicity of composition operators

Frédéric Bayart (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Domaines: Analyse fonctionnelle [math.FA]

Frédéric Bayart. Disjoint frequent hypercyclicity of composition operators. Advances in Mathematics, 2023, 418, pp.108945. ⟨10.1016/j.aim.2023.108945⟩. ⟨hal-03867133⟩