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

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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Bibliographic Details
Published inKarpats'kì matematinì publìkacìï Vol. 6; no. 1; pp. 161 - 165
Main Authors M. El Hamma, H. Lahlali, R. Daher
Format Journal Article
LanguageEnglish
Published Vasyl Stefanyk Precarpathian National University 01.07.2014
Subjects
dunkl operator
dunkl transform
generalized dunkl translation
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Summary: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 $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
ISSN:2075-9827
2313-0210
DOI:10.15330/cmp.6.1.161-165