English

Disjoint frequent hypercyclicity of composition operators

Functional Analysis 2022-11-24 v1

Abstract

We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on H(D)H(\mathbb D) or on the Hardy space H2(D)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.

Keywords

Cite

@article{arxiv.2211.13048,
  title  = {Disjoint frequent hypercyclicity of composition operators},
  author = {Frédéric Bayart},
  journal= {arXiv preprint arXiv:2211.13048},
  year   = {2022}
}
R2 v1 2026-06-28T06:41:14.804Z