English

Dynamics of weighted translations on Orlicz spaces

Functional Analysis 2018-08-20 v1

Abstract

Let GG be a locally compact group, and let Φ\Phi be a Young function. In this paper, we give sufficient and necessary conditions for weighted translation operators on the Orlicz space LΦ(G)L^\Phi(G) to be chaotic and topologically multiply recurrent. In particular, chaos implies multiple recurrence in our case.

Keywords

Cite

@article{arxiv.1808.05799,
  title  = {Dynamics of weighted translations on Orlicz spaces},
  author = {Chung-Chuan Chen},
  journal= {arXiv preprint arXiv:1808.05799},
  year   = {2018}
}