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Disjoint topological transitivity for weighted translations on Orlicz spaces

2018/08/17 by Chung-Chuan Chen, Chen, Chung-Chuan, Marko Kostić +1
Mathematics · #46E30 #47A16 #54H20 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.FA #msc:46E30 #msc:47A16 #msc:54H20

paper · pdf · doi:10.48550/arxiv.1808.05800

arXiv admin note: text overlap with arXiv:1808.05799

arxiv created 2018/08/17 · openalex publication_date 2018/08/17 · arxiv updated 2018/08/21 · 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 a sufficient and necessary condition for weighted translations on the Orlicz space LΦ(G) to be disjoint topologically transitive. This characterization for disjoint chaos follows from the investigation on disjoint transitivity immediately.

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