Integrability and Boas Type Results for a Generalized Fourier–Bessel Transform

We obtain sufficient conditions for weighted integrability of a generalized Fourier–Bessel transform of functions from generalized integral Lipschitz classes. These conditions are analogues of the well-known Móricz conditions for classical Fourier transform. In addition, a Boas type result associating the behavior of a function and the smoothness of its generalized Fourier–Bessel transform is proved.