--- _id: '2324' abstract: - lang: eng text: We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces on half-spaces. Our proof relies on a nonlinear and nonlocal version of the ground state representation. alternative_title: - International Mathematical Series author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Frank R, Seiringer R. Sharp fractional Hardy inequalities in half-spaces. In: Around the Research of Vladimir Maz’ya I. Vol 11. Springer; 2010:161-167. doi:10.1007/978-1-4419-1341-8_6' apa: Frank, R., & Seiringer, R. (2010). Sharp fractional Hardy inequalities in half-spaces. In Around the Research of Vladimir Maz’ya I (Vol. 11, pp. 161–167). Springer. https://doi.org/10.1007/978-1-4419-1341-8_6 chicago: Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” In Around the Research of Vladimir Maz’ya I, 11:161–67. Springer, 2010. https://doi.org/10.1007/978-1-4419-1341-8_6. ieee: R. Frank and R. Seiringer, “Sharp fractional Hardy inequalities in half-spaces,” in Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–167. ista: 'Frank R, Seiringer R. 2010.Sharp fractional Hardy inequalities in half-spaces. In: Around the Research of Vladimir Maz’ya I. International Mathematical Series, vol. 11, 161–167.' mla: Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–67, doi:10.1007/978-1-4419-1341-8_6. short: R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167. date_created: 2018-12-11T11:56:59Z date_published: 2010-01-01T00:00:00Z date_updated: 2021-01-12T06:56:46Z day: '01' doi: 10.1007/978-1-4419-1341-8_6 extern: 1 intvolume: ' 11' main_file_link: - open_access: '1' url: http://arxiv.org/abs/0906.1561 month: '01' oa: 1 page: 161 - 167 publication: Around the Research of Vladimir Maz'ya I publication_status: published publisher: Springer publist_id: '4603' quality_controlled: 0 status: public title: Sharp fractional Hardy inequalities in half-spaces type: book_chapter volume: 11 year: '2010' ...