Titchmarsh theorem for Jacobi Dini-Lipshitz functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 7، شماره 1، 2016، صفحه 93-101 اصل مقاله (376.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.298 | ||
| نویسندگان | ||
| Mustapha Boujeddaine* 1؛ Said Fahlaoui1؛ Radouan Daher2 | ||
| 1Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d Analyse Harmonique et Probabilies, Universite Moulay Ismail, BP 11201 Zitoune, Meknes, Morocco | ||
| 2Department of Mathematics, Faculty of Sciences An Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco | ||
| چکیده | ||
| 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 $\mathrm{L}_{(\alpha,\beta)}^{p}(\mathbb{R}^{+})$, $(1< p\leq 2)$. 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 $L^{p}$. | ||
| کلیدواژهها | ||
| Dini-Lipschitz functions؛ Jacobi operator؛ Jacobi transform | ||
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