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arxiv: 1404.2245 · v1 · pith:YV2JEMGQnew · submitted 2014-04-08 · 🧮 math.DG · math.AP

Optimal geometric estimates for fractional Sobolev capacities

classification 🧮 math.DG math.AP
keywords fractionalsobolevcapacitiescapacitycertaindevelopsestimatesgeometric
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This note develops certain sharp inequalities relating the fractional Sobolev capacity of a set to its standard volume and fractional perimeter.

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