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Quasiadditivity of variational capacity

Functional Analysis 2015-12-23 v1

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.

Keywords

Cite

@article{arxiv.1211.6933,
  title  = {Quasiadditivity of variational capacity},
  author = {Juha Lehrbäck and Nageswari Shanmugalingam},
  journal= {arXiv preprint arXiv:1211.6933},
  year   = {2015}
}

Comments

15 pages