$(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$
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 $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2014-07-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1347 |
| _version_ | 1818455708469821440 |
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| author | M. El Hamma H. Lahlali R. Daher |
| author_facet | M. El Hamma H. Lahlali R. Daher |
| author_sort | M. El Hamma |
| collection | DOAJ |
| description | 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 $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.} |
| first_indexed | 2024-12-14T22:15:04Z |
| format | Article |
| id | doaj.art-8dbc97cce3ab480b8ba690320b6379e1 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-14T22:15:04Z |
| publishDate | 2014-07-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-8dbc97cce3ab480b8ba690320b6379e12022-12-21T22:45:38ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102014-07-016116116510.15330/cmp.6.1.161-1651347$(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$M. El Hamma0H. Lahlali1R. Daher2University of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, MoroccoUniversity of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, MoroccoUniversity of Hassan II, Km 8 Route d’El Jadida B.P. 5366 Maarif Casablanca 20100, MoroccoUsing 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 $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}https://journals.pnu.edu.ua/index.php/cmp/article/view/1347dunkl operatordunkl transformgeneralized dunkl translation |
| spellingShingle | M. El Hamma H. Lahlali R. Daher $(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$ Karpatsʹkì Matematičnì Publìkacìï dunkl operator dunkl transform generalized dunkl translation |
| title | $(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$ |
| title_full | $(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$ |
| title_fullStr | $(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$ |
| title_full_unstemmed | $(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$ |
| title_short | $(\delta, \gamma)$-Dunkl Lipschitz functions in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$ |
| title_sort | delta gamma dunkl lipschitz functions in the space mathrm l 2 mathbb r x 2 alpha 1 dx |
| topic | dunkl operator dunkl transform generalized dunkl translation |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/1347 |
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