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Boas-type theorems for the Bessel transform

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we give necessary and sufficient conditions in terms of \(\mathcal {F}_{\nu }(f)\), the Bessel transform of f, to ensure that f belongs either to one of the generalized Lipschitz classes \(H_{\alpha }^m\) and \(h_{\alpha }^m\) for \(\alpha >0\).

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Acknowledgements

The authors would like to thank the referee for carefully checking the manuscript and for his/her helpful comments and suggestions.

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Authors and Affiliations

  1. Laboratory of Engineering Sciences for Energy National School of Applied Sciences of El Jadida, University Chouaib Doukkali, El Jadida, Morocco

    El Mehdi Loualid

  2. Laboratory: Topology, Algebra, Geometry and Discrete Mathematics, Department of Mathematics and Informatics, Faculty of Sciences Aïn Chock, University of Hassan II, B.P 5366, Maarif, Casablanca, Morocco

    Abdelghani Elgargati, El Mehdi Berkak & Radouan Daher

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  1. El Mehdi Loualid
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  2. Abdelghani Elgargati
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  3. El Mehdi Berkak
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  4. Radouan Daher
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Correspondence to El Mehdi Loualid.

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Loualid, E.M., Elgargati, A., Berkak, E.M. et al. Boas-type theorems for the Bessel transform. RACSAM 115, 141 (2021). https://doi.org/10.1007/s13398-021-01087-3

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  • DOI: https://doi.org/10.1007/s13398-021-01087-3

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