Disjoint frequent hypercyclicity of composition operators (2211.13048v1)

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 paper of Martin et al. and we exhibit two disjointly frequently hypercyclic weighted shifts.