Maximal operator in Dunkl-Fofana spaces

Abstract

We generalize Wiener amalgam spaces by using Dunkl translation instead of the classical one, and we give some relationship between these spaces, Dunkl-Lebesgue spaces and Dunkl-Morrey spaces. We prove that the Hardy-Litlewood maximal function associated with the Dunkl operator is bounded on these generalized Dunkl-Morrey spaces.