Disjoint topological transitivity for weighted translations on Orlicz spaces

Abstract

Let $G$ be a locally compact group, and let $\Phi$ be a Young function. In this paper, we give a sufficient and necessary condition for weighted translations on the Orlicz space $L^\Phi(G)$ to be disjoint topologically transitive. This characterization for disjoint chaos follows from the investigation on disjoint transitivity immediately.