Chaotic translations on weighted Orlicz spaces

Abstract

Let G be a locally compact group, and let w be a weight on G. Let Phi be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space L-w(Phi)(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.