Chaotic translations on weighted Orlicz spaces

2018/09/11 by Chung-Chuan Chen, Chen, Chung-Chuan, Kui-Yo Chen +5
Mathematics · #47A16 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46E30 #Secondary 54H20 #math.FA #msc:46E30 #msc:47A16 #msc:54H20

paper · pdf · doi:10.48550/arxiv.1809.03694

arxiv created 2018/09/11 · arxiv updated 2018/09/12

Abstract

Let G be a locally compact group, w be a weight on G and Φ be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space L_w^Φ(G). In particular, transitivity is equivalent to the blow-up/collapse property in our case. Moreover, the dense set of periodic elements implies transitivity automatically.

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