DINI LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$

Abstract

Using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [5] for the generalized Fourier-Dunkl transform for functions satisfying the Fourier-Dunkl Dini Lipschitz condition in the space $L_{\alpha,n}^{2}$.