Boundedness of Dunkl-Hausdorff operator in Lebesgue spaces

Sandhya Jain, Alberto Fiorenza, Pankaj Jain

In this paper, the $L_v^p(\mathbb{R})$-boundedness of the Dunkl-Hausdorff operator $\displaystyle H_{\al,ϕ} f(x)=\ent\frac{ |ϕ(t)|}{|t|^{2\al+2}}f\lf(\frac{x}{t}\rh) dt $ has been characte…