Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,gamma}(mathbb{R}^{n}_{+})$

Abstract

In this paper, we obtain a generalization of Titchmarsh's theorem for the Bessel transform for functions satisfying the $(psi,p)$-Bessel Lipschitz condition in the Lebesgue space $L_{p,gamma}(mathbb{R}^{n}_{+})$ for $1 0$.