Abstract
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 $\alpha\geq -\frac{1}{2}$.
Citation
Radouan Daher. Mustapha Boujeddaine. Mohamed El Hamma. "Dunkl transform of $(\beta, \gamma)$-Dunkl Lipschitz functions." Proc. Japan Acad. Ser. A Math. Sci. 90 (9) 135 - 137, November 2014. https://doi.org/10.3792/pjaa.90.135
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