Some topics concerning integrals of derivatives and difference quotients on metric spaces
arXiv:math/0211252
Abstract
This article discusses several matters related to Sobolev, Poincare, and isoperimetric inequalities in various settings.
submitted to the volume associated to the trimestre "Heat kernels, random walks, and analysis on manifolds and graphs" at the Centre Emile Borel, Institut Henri Poincare, Spring, 2002