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arXiv · 0906.1561

Sharp fractional Hardy inequalities in half-spaces

Rupert L. Frank·Robert Seiringer
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Abstract

We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces on half-spaces. Our proof relies on a non-linear and non-local version of the ground state representation.

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Rupert L. Frank, Robert Seiringer. 2009-06-08. Sharp fractional Hardy inequalities in half-spaces. https://arxiv.org/abs/0906.1561

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