Some topics concerning integrals of derivatives and difference quotients on metric spaces

2002/11/16 by Stephen Semmes, Semmes, Stephen
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.math/0211252

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

arxiv created 2002/11/16 · arxiv updated 2009/11/30

Abstract

This article discusses several matters related to Sobolev, Poincare, and isoperimetric inequalities in various settings.

Related

• Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces
• The isoperimetric inequality
• Symmetrization and sharp Sobolev inequalities in metric spaces
• Difference Problems and Differential Problems
• Some remarks about Cauchy integrals