Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting

Abstract

We study the Dunkl convolution operators on Herz-type Hardy spaces ${\mathscr{H}}_{\alpha ,2}^p$and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ${\mathscr{H}}_{\alpha ,\infty }^p$.