Laguerre-Bessel Transform and Generalized Lipschitz Classes

The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲_LBf of the function f to ensure that f belongs to the generalized Lipschitz classes H_α^k (X) and h^k_α (X), where X =[0, +∞) × [0, +∞).