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Laguerre-Bessel Transform and Generalized Lipschitz Classes

Larbi Rakhimi

Larbi Rakhimi

Department of Mathematics, Faculty of Sciences AĂŻn Chock, University Hassan IICasablanca, Morocco
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Rakhimi, Larbi
, 
Abdelmajid Khadari

Abdelmajid Khadari

Department of Mathematics, Faculty of Sciences AĂŻn Chock, University Hassan IICasablanca, Morocco
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Khadari, Abdelmajid
 and 
Radouan Daher

Radouan Daher

Department of Mathematics, Faculty of Sciences AĂŻn Chock, University Hassan IICasablanca, Morocco
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Daher, Radouan
  
Nov 16, 2023
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Published Online: Nov 16, 2023
Page range: 155 - 168
Received: Mar 15, 2023
DOI: https://doi.org/10.2478/tmmp-2023-0029
Keywords
© 2023 Larbi Rakhimi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Language:
English
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3 times per year
Journal Subjects:
Mathematics, General Mathematics
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