JACOBI TRANSFORM OF \((\nu, \gamma, p)\)-JACOBI–LIPSCHITZ FUNCTIONS IN THE SPACE \(\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)\)

Mohamed El Hamma     (Laboratoire TAGMD, Faculté des Sciences Aïn Chock, Université Hassan II, B.P 5366 Maarif, Casablanca, Morocco)
Hamad Sidi Lafdal     (CRMEF, Laayoune, Morocco)
Nisrine Djellab     (Laboratoire TAGMD, Faculté des Sciences Aïn Chock, Université Hassan II, B.P 5366 Maarif, Casablanca, Morocco)
Chaimaa Khalil     (Laboratoire TAGMD, Faculté des Sciences Aïn Chock, Université Hassan II, B.P 5366 Maarif, Casablanca, Morocco)

Abstract


Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M.S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the \((\nu, \gamma, p)\)-Jacobi–Lipschitz class in the space \(\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t)dt)\).


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References


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DOI: http://dx.doi.org/10.15826/umj.2019.1.006

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