Dynamics of weighted translations on Orlicz spaces

2018/08/17 by Chung-Chuan Chen, Chen, Chung-Chuan · 1 citation
Mathematics · #46E30 #47A16 #54H20 #Advanced Algebra and Geometry #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA #msc:46E30 #msc:47A16 #msc:54H20

paper · pdf · doi:10.48550/arxiv.1808.05799

arxiv created 2018/08/17 · openalex publication_date 2018/08/17 · arxiv updated 2018/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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• Disjoint topological transitivity for weighted translations on Orlicz spaces

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