On estimates for the Fourier-Bessel transform in the space Lp(R^{2}_{ +}; x^{2\alpha_{1}+1}y^{2\alpha_{2}+1}dxdy)

Abstract

In this paper, we prove two estimates useful in applications for the Fourier-
Bessel transform in the spaceLp(R^{2}_{ +}; x^{2\alpha_{1}+1}y^{2\alpha_{2}+1}dxdy)  , (1 < p ≤ 2), as applied to some
classes of functions characterized by a generalized modulus of continuity.