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arXiv · 1211.6933

Quasiadditivity of variational capacity

Juha Lehrbäck·Nageswari Shanmugalingam
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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.

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Juha Lehrbäck, Nageswari Shanmugalingam. 2012-11-29. Quasiadditivity of variational capacity. https://doi.org/10.1007/s11118-013-9348-7

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