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

Authors

  • M. El Hamma University of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, Morocco
  • H. Lahlali University of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, Morocco
  • R. Daher University of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, Morocco
https://doi.org/10.15330/cmp.6.1.161-165

Keywords:

Dunkl operator, Dunkl transform, generalized Dunkl translation
Published online: 2014-07-15

Abstract

Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}

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How to Cite
(1)
El Hamma, M.; Lahlali, H.; Daher, R. $(\delta, \gamma)$-Dunkl Lipschitz Functions in the Space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$. Carpathian Math. Publ. 2014, 6, 161-165.