# Inequalities of Hardy-Sobolev type in Carnot-Carathéodory spaces - Mathematics > Analysis of PDEs

Inequalities of Hardy-Sobolev type in Carnot-Carathéodory spaces - Mathematics > Analysis of PDEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider various types of Hardy-Sobolev inequalities on aCarnot-Carath\-eodory space $\Om, d$ associated to a system of smooth vectorfields $X=\{X 1, X 2, .,X m\}$ on $\RR^n$ satisfying the H\-ormander-s finiterank condition $rank LieX 1, .,X m \equiv n$. One of our main concerns isthe trace inequality\int {\Om}|\phix|^{p}Vxdx\leq C\int {\Om}|X\phi|^{p}dx,\qquad \phi\inC^{\infty} {0}\Om,where $V$ is a general weight, i.e., a nonnegative locally integrablefunction on $\Om$, and \$1

Autor: Donatella Danielli, Nicola Garofalo, Nguyen Cong Phuc

Fuente: https://arxiv.org/