{"date_published":"2010-01-01T00:00:00Z","citation":{"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.","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.","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.","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","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.","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"},"publication_status":"published","extern":1,"_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."}],"main_file_link":[{"url":"http://arxiv.org/abs/0906.1561","open_access":"1"}],"type":"book_chapter","doi":"10.1007/978-1-4419-1341-8_6","page":"161 - 167","day":"01","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"publication":"Around the Research of Vladimir Maz'ya I","month":"01","date_updated":"2021-01-12T06:56:46Z","quality_controlled":0,"title":"Sharp fractional Hardy inequalities in half-spaces","status":"public","alternative_title":["International Mathematical Series"],"oa":1,"intvolume":" 11","date_created":"2018-12-11T11:56:59Z","publist_id":"4603","volume":11,"publisher":"Springer","year":"2010"}