Sharp Fractional Hardy Inequalities in Half-spaces Rupert L. Frank and Robert Seiringer
نویسنده
چکیده
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.
منابع مشابه
Non-linear Ground State Representations and Sharp Hardy Inequalities
We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, which even yields a remainder term. From the sharp Hardy inequality we deduce the sharp constant in a Sobolev embedding which is optimal in the Lorentz scale. In the appendix, we characterize the cases of equality in t...
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