ON ESTIMATES FOR JACOBI-DUNKL TRANSFORM OF DINI-LIPSHITZ FUNCTIONS

Abstract

In this paper, using a generalised translation operator, we prove some estimates for the Jacobi Dunkl transform in the space $\mathrm{L}^{p}(\mathbb{R})$, $(1< p \leq 2)$, of a class of functions satisfying the Dini-Lipschitz condition.