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 necessary and sufficient condition for weighted translations on the Orlicz space $L^\Phi(G)$

to be disjoint topologically transitive. In such a way, we continue a great number of recent research studies considering topological dynamics of operators acting on Lebesgue or Orlicz spaces of locally compact groups.