Geodesic
Riesz Transform for the One-Dimensional $(k,1)$-Generalized Fourier Transform
Matematičeskie zametki, Tome 113 (2023) no. 3, pp. 360-373.

Voir la notice de l'article provenant de la source Math-Net.Ru

For the $(k,1)$-generalized Fourier transform on the real line $\mathbb{R}$, the Riesz transform is determined. For this transform, $L^p$-inequalities with power and piecewise power weights are proved for $1$.
Keywords: weight function, generalized Fourier transform, Riesz transform. 
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V. I. Ivanov. Riesz Transform for the One-Dimensional $(k,1)$-Generalized Fourier Transform. Matematičeskie zametki, Tome 113 (2023) no. 3, pp. 360-373. http://geodesic.mathdoc.fr/item/MZM_2023_113_3_a3/

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