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Dynamics of weighted translations on Orlicz spaces (1808.05799v1)
Published 17 Aug 2018 in math.FA
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.