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arxiv: 1808.05799 · v1 · pith:VV6GH7DUnew · submitted 2018-08-17 · 🧮 math.FA

Dynamics of weighted translations on Orlicz spaces

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keywords orliczweightedcasechaoschaoticcompactconditionsdynamics
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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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