Laguerre-Bessel Transform and Generalized Lipschitz Classes

Larbi Rakhimi; Abdelmajid Khadari; Radouan Daher

doi:10.2478/tmmp-2023-0029

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Laguerre-Bessel Transform and Generalized Lipschitz Classes

Tatra Mountains Mathematical Publications

Volume 85 (2023): Issue 3 (November 2023)

By: Larbi Rakhimi, Abdelmajid Khadari and Radouan Daher

Open Access

|Nov 2023

Abstract

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, +∞).

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0029 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 155 - 168

Submitted on: Mar 15, 2023

Published on: Nov 16, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Laguerre-Bessel transform,

generalized translation operator,

Related subjects:

© 2023 Larbi Rakhimi, Abdelmajid Khadari, Radouan Daher, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 85 (2023): Issue 3 (November 2023)