ON ESTIMATES FOR THE GENERALIZED DUNKL TRANSFORM AND TITCHMARSH'S THEOREM IN THE SPACE $L^{p}_{\alpha,Q}(\mathbb{R}), (1

Abstract

In this paper, we study two estimates useful in applications are proved for the generalized Dunkl tranform in the space $L^{p}_{\alpha,Q}(\mathbb{R})$ where $1\frac{-1}{2}$, as applied to some classes of functions characterized by a generalized modulus of continuity and we extend two interesting E.C. Titchmarsh's theorems with the higher order at same space.