Resumen de Trace inequalities for Carnot-Carathéodory spaces and applications

Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu

• Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borel measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.