Author/Authors :
Boujeddaine, Mustapha Department of Mathematics and Computer Sciences - Faculty of Sciences - Equipe d'Analyse Harmonique et Probabilities - Universite Moulay Ismail - Zitoune - Meknes, Morocco , Fahlaoui, Said Department of Mathematics and Computer Sciences - Faculty of Sciences - Equipe d'Analyse Harmonique et Probabilities - Universite Moulay Ismail - Zitoune - Meknes, Morocco , Daher, Radouan Department of Mathematics - Faculty of Sciences Ain Chock - University of Hassan II - Maarif - Casablanca, Morocco
Abstract :
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 Lp
(a;β)(R+),
(1 < p ≤ 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 Lp.
