Laguerre-Bessel Transform and Generalized Lipschitz Classes

Author:

Rakhimi Larbi1,Khadari Abdelmajid1,Daher Radouan1

Affiliation:

1. 1 Department of Mathematics, Faculty of Sciences Aïn Chock , University Hassan II , Casablanca , Morocco

Abstract

Abstract The aim of this paper is to give necessary and sufficient conditions in terms of the Fourier Laguerre-Bessel transform 𝒲 LB f 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, +).

Publisher

Walter de Gruyter GmbH

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference18 articles.

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3. KORTAS, H.—SIFI, M.: Lévy-Khintchine formula and dual convolution semigroups associated with Laguerre and Bessel functions. In: ICPA98 (Hammamet). Potential Anal. Vol. 15 (2001), no. 1–2, pp. 43–58.

4. NEGZAOUI, S.—REBHI, S.: On the concentration of a function and its Laguerre-Bessel transform, Math. Inequal. Appl. 22 (2019), no. 3, 825–836.

5. TITCHMARSH, E. C.: Introduction to the Theory of Fourier Integral. Oxford : Clarendon Press, 1948.

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