Laguerre-Bessel Transform and Generalized Lipschitz Classes

Larbi RAKHIMI, Abdelmajid KHADARI, Radouan Daher

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}


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DOI: https://doi.org/10.2478/tmmp-2023-0029