Titchmarsh theorem for Jacobi Dini-Lipshitz functions

نویسندگان

  • Mustapha Boujeddaine Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d'Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco
  • Radouan Daher Department of Mathematics, Faculty of Sciences An Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
  • Said Fahlaoui Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d'Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco
چکیده مقاله:

Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lipschitz condition in $L^{p}$.

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عنوان ژورنال

دوره 7  شماره 1

صفحات  93- 101

تاریخ انتشار 2016-03-01

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