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 1< p\leq2, \gamma>0.

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

Bessel operator , Bessel generalized translation , Bessel Lipschitz condition