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

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 ۱< p\leq۲, \gamma>۰.

Keywords:

Bessel operator , Bessel generalized translation , Bessel Lipschitz condition