Characterizations of Sobolev inequalities on metric spaces

Abstract

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

arXiv comment17 pages, corrected typos

References in corpus (1)

• Equivalence and self-improvement of p-fatness and Hardy's inequality, and association with uniform perfectness

Cited by in corpus (1)

• The variational capacity with respect to nonopen sets in metric spaces