On estimates for the Fourier-Bessel transform in the space Lp(R2+,x2α1+1y2α2+1dxdy)

Abstract

In this paper, we prove two estimates useful in applications for the Fourier-Bessel transform in the space Lp(R2+,x2?1+1y2?2+1dxdy), (1 < p ? 2), as applied to some classes of functions characterized by a generalized modulus of continuity.