Email this article On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform
- Authors: El Hamma M.1, Daher R.1
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Affiliations:
- Laboratoire TAGMD, Faculté des Sciences Aïn Chock
- Issue: Vol 40, No 8 (2019)
- Pages: 1157-1163
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205312
- DOI: https://doi.org/10.1134/S199508021908002X
- ID: 205312
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Abstract
Using a generalized spherical mean operator, we obtain a generalization of two theorems 84 and 85 of Titchmarsh for the Dunkl transform for functions satisfying the Dunkl—Lipschitz condition in the space Lp(ℝd, wk(x)dx), where 1 < p ≤ 2.
About the authors
Mohamed El Hamma
Laboratoire TAGMD, Faculté des Sciences Aïn Chock
Author for correspondence.
Email: m_elhamma@yahoo.fr
Morocco, Maarif, Casablanca
Radouan Daher
Laboratoire TAGMD, Faculté des Sciences Aïn Chock
Author for correspondence.
Email: rjdaher024@gmail.com
Morocco, Maarif, Casablanca
