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arxiv: 1211.6933 · v1 · pith:OVT3ELFAnew · submitted 2012-11-29 · 🧮 math.FA

Quasiadditivity of variational capacity

classification 🧮 math.FA
keywords capacityquasiadditivitypropertytypevariationalcharacterizeclosecondition
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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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