2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228322Using 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 versionFunctional Analysistext