Laguerre-Bessel Transform and Generalized Lipschitz Classes

Abstract

\begin{abstract}
The aim of this paper is to give  necessary and sufficient conditions
in terms of the Fourier Laguerre-Bessel transform $\mathcal{W}_{LB}f$
of the function $f$ to~ensure that $f$ belongs to the generalized  Lipschitz classes $\mathbf{H}_{\alpha}^{k}(\mathbf{X})$ and $\mathbf{h}_{\alpha}^{k}(\mathbf{X})$,
where
$\mathbf{X}=[0,+\infty)\times[0,+\infty)$.
\end{abstract}