Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces

The Anh Bui, Xueting Han, Suman Mukherjee

Let $L$ be the Dunkl Laplacian on the Euclidean space ${\mathbb{R}}^N$ associated with a normalized root system $R$ and a multiplicity function $k(\hat{I}½)\ge 0$, $\hat{I}½\in R$. We establish…