descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 2014Publisher:Project EuclidJournal:Proceedings of the Japan Academy, Series A, Mathematical Sciences, volume 90 (issn: 0386-2194,

Authors: Daher, Radouan; Boujeddaine, Mustapha; El Hamma, Mohamed;

doi: 10.3792/pjaa.90.135

Dunkl transform of $(\beta, \gamma)$-Dunkl Lipschitz functions

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Abstract

In this paper, we obtain an analog of Younis’s Theorem 5.2 in~[7] for the Dunkl transform on the real line for functions satisfying the $(\beta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{p}(\mathbf{R}, |x|^{2\alpha+1}dx)$, where $\alpha\geq -\frac{1}{2}$.

Related Organizations

Université Hassan II Mohammedia
Morocco
Department of Physics, Mathematics and Informatics
Belarus

Keywords

Dunkl operator, generalized translation operator, Dunkl transform, 46E30; 41A25; 41A17

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$(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$
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