Sharp fractional Hardy inequalities in half-spaces
Functional Analysis
2009-06-09 v1 Analysis of PDEs
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.
Cite
@article{arxiv.0906.1561,
title = {Sharp fractional Hardy inequalities in half-spaces},
author = {Rupert L. Frank and Robert Seiringer},
journal= {arXiv preprint arXiv:0906.1561},
year = {2009}
}
Comments
6 pages; dedicated to V. G. Maz'ya