arXiv:1808.05799 Abstract | arXiv Analytics

arXiv:1808.05799 [math.FA]Abstract References Reviews Resources

Dynamics of weighted translations on Orlicz spaces

Published 2018-08-17Version 1

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.

Categories: math.FA

Subjects: 54H20, 46E30, 47A16

Keywords: orlicz space, chaos implies multiple recurrence, locally compact group, necessary conditions, weighted translation operators

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