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

Document Type : Research Paper

Authors

Department of Mathematics, Kutahya Dumlupinar University, Kutahya, Turkey

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 $1< p\leq2$, $\gamma>0$.

Keywords