Inequalities of Hardy-Sobolev type in Carnot-Carathéodory spaces

Donatella Danielli, Nicola Garofalo, Nguyen Cong Phuc

We consider various types of Hardy-Sobolev inequalities on a Carnot-Carathéodory space $(\Om, d)$ associated to a system of smooth vector fields $X=\{X_1,X_2,...,X_m\}$ on $\RR^n$…