Titchmarsh theorem for Jacobi Dini-Lipshitz functions

Abstract Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space L p (α,β) (R + ), (1 < p ≤ 2). It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lipschitz condition in L p