Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes (Q2674701)

The author deals with the study of an analogue and generalization of Moricz's result for the Fourier-Dunkl transform. He establishes sufficient conditions for the weighted integrability of Fourier-Dunkl transforms by using the moduli of smoothness related to Dunkl translation operators. The Dini-Lipschitz classes are of fundamental importance in analysis and function space theory.