Characterizations of Sobolev inequalities on metric spaces

2007/09/30 by Juha Kinnunen, Riikka Korte · 1 citation
Mathematics · #Analytic and geometric function theory #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #math.FA #msc:31C45 #msc:46E35

paper · pdf · doi:10.1016/j.jmaa.2008.03.070

published as J. Math. Anal. Appl., 334(2), 1093-1103, 2008 · 17 pages, corrected typos

arxiv created 2008/01/14 · openalex publication_date 2008/04/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We present isocapacitary characterizations of Sobolev inequalities in very general metric measure spaces.

Citations

• Normal and Integral Currents

Cited by

• The Variational Capacity with Respect to Nonopen Sets in Metric Spaces