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arXiv · 1808.05799

Dynamics of weighted translations on Orlicz spaces

Chung-Chuan Chen
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Abstract

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

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Chung-Chuan Chen. 2018-08-17. Dynamics of weighted translations on Orlicz spaces. https://arxiv.org/abs/1808.05799

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