An analog of Titchmarsh's theorem for the Bessel transform in the space $mathrm{L}_{p,alpha}(mathbb{R}_{+})$

Authors

  • M. Boujeddaine Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d'Analyse Harmonique et Probabilit\'{e}s, Universit\'{e} Moulay Isma\"{\i}l. BP 11201 , Zitoune, Mekn\`{e}s, Morocco
  • Mohamed El Hamma Department of Mathematics, Faculty of Sciences A"{i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
  • R. Daher Department of Mathematics, Faculty of Sciences A\"{\i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
Abstract:

Using a Bessel generalized translation, we obtain an analog of Titchmarsh's theorem for the Bessel transform for functions satisfying the Lipschitz condition in the space $mathrm{L}_{p,alpha}(mathbb{R}_{+})$, where $alpha>-frac{1}{2}$ and $1

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Journal title

volume 7  issue 1

pages  243- 248

publication date 2016-01-04

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