Author/Authors :
Daher, R. Department of Mathematics - Faculty of Sciences A¨ın Chock - University of Hassan II, Casablanca, Morocco , Hamma, M. El Department of Mathematics - Faculty of Sciences A¨ın Chock - University of Hassan II, Casablanca, Morocco , Boujeddaine, M. Department of Mathematics and Computer Sciences - Faculty of Sciences -Equipe d’Analyse Harmonique et Probabilites - Universit´e Moulay Isma¨ıl, Mekn`es, Morocco
Abstract :
In this paper, using a generalized Dunkl translation operator, we obtain a gener-alization of Titchmarsh’s Theorem for the Dunkl transform for functions satisfying the(ψ, p)-Lipschitz Dunkl condition in the space Lp,α = Lp(R, |x|2α+1dx), where α > -1 / 2