On some theorems of the Jacobi-Lipschitz class for the Jacobi transform

Abstract

Using a generalized Jacobi translation, we obtain a generalization of the theorem 84 of Titchmarsh for the Jacobi transform satisfying the Jacobi-Lipschitz and Dini Lipschitz conditions in the space Lp(R+; (t)dt), where 1 < p<= 2.