<abstract xmlns="http://www.w3.org/1999/xhtml">

The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲<italic>LB</italic><italic>f</italic> of the function <italic>f</italic> to ensure that <italic>f</italic> belongs to the generalized Lipschitz classes <bold>H</bold><italic>α</italic><italic>k</italic> (<bold>X</bold>) and <bold>h</bold><italic>kα</italic> (<bold>X</bold>), where <bold>X</bold> =[0, +<italic>∞</italic>) <italic>×</italic> [0, +<italic>∞</italic>).
</abstract>

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

Laguerre-Bessel Transform and Generalized Lipschitz Classes

Department of Mathematics, Faculty of Sciences Aïn Chock

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"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 𝒲LBf of the function f to ensure that f...

Laguerre-Bessel Transform and Generalized Lipschitz Classes

Published Online: Nov 16, 2023

Page range: 155 - 168

Received: Mar 15, 2023

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

Keywords
Laguerre-Bessel transform, generalized translation operator, Lipschitz condition, Boas theorems

© 2023 Larbi Rakhimi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Laguerre-Bessel Transform and Generalized Lipschitz Classes

Published Online: Nov 16, 2023

Page range: 155 - 168

Received: Mar 15, 2023

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

KeywordsLaguerre-Bessel transform, generalized translation operator, Lipschitz condition, Boas theorems

© 2023 Larbi Rakhimi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Laguerre-Bessel transform, generalized translation operator, Lipschitz condition, Boas theorems