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

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Radouan Daher¹  Mustapha Boujeddaine²  Mohamed El Hamma¹ 

[1] Department of Mathematics, Faculty of Sciences A€n Chock, University of Hassan II;Department of Mathematics and Computer Sciences, Faculty of Sciences

关键词: Dunkl operator;    Dunkl transform;    generalized translation operator.;   

DOI  :  10.3792/pjaa.90.135

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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 $\alpha\geq -\frac{1}{2}$.

【 授权许可】

Unknown