Quasiadditivity of variational capacity

Abstract

We study the quasiadditivity property (a version of superadditivity with a multiplicative constant) of variational capacity in metric spaces with respect to Whitney type covers. We characterize this property in terms of a Mazya type capacity condition, and also explore the close relation between quasiadditivity and Hardy's inequality.

arXiv comment15 pages

References in corpus (2)

• The equivalence between pointwise Hardy inequalities and uniform fatness
• Equivalence and self-improvement of p-fatness and Hardy's inequality, and association with uniform perfectness

Cited by in corpus (1)

• Hardy inequalities and Assouad dimensions