Isoperimetry and Symmetrization for Sobolev spaces on metric spaces
Abstract
Description
Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces. The applications include concentration inequalities, as well as metric versions of the Pó% lya-Szegö and Faber-Krahn principles.
corrected version
corrected version