{"page":"161 - 167","_id":"2324","year":"2010","day":"01","quality_controlled":0,"doi":"10.1007/978-1-4419-1341-8_6","alternative_title":["International Mathematical Series"],"intvolume":"        11","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"date_updated":"2021-01-12T06:56:46Z","date_created":"2018-12-11T11:56:59Z","title":"Sharp fractional Hardy inequalities in half-spaces","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."}],"status":"public","oa":1,"date_published":"2010-01-01T00:00:00Z","publist_id":"4603","type":"book_chapter","publication_status":"published","main_file_link":[{"url":"http://arxiv.org/abs/0906.1561","open_access":"1"}],"extern":1,"volume":11,"publisher":"Springer","citation":{"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.” <i>Around the Research of Vladimir Maz’ya I</i>, vol. 11, Springer, 2010, pp. 161–67, doi:<a href=\"https://doi.org/10.1007/978-1-4419-1341-8_6\">10.1007/978-1-4419-1341-8_6</a>.","apa":"Frank, R., &#38; Seiringer, R. (2010). Sharp fractional Hardy inequalities in half-spaces. In <i>Around the Research of Vladimir Maz’ya I</i> (Vol. 11, pp. 161–167). Springer. <a href=\"https://doi.org/10.1007/978-1-4419-1341-8_6\">https://doi.org/10.1007/978-1-4419-1341-8_6</a>","chicago":"Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” In <i>Around the Research of Vladimir Maz’ya I</i>, 11:161–67. Springer, 2010. <a href=\"https://doi.org/10.1007/978-1-4419-1341-8_6\">https://doi.org/10.1007/978-1-4419-1341-8_6</a>.","ama":"Frank R, Seiringer R. Sharp fractional Hardy inequalities in half-spaces. In: <i>Around the Research of Vladimir Maz’ya I</i>. Vol 11. Springer; 2010:161-167. doi:<a href=\"https://doi.org/10.1007/978-1-4419-1341-8_6\">10.1007/978-1-4419-1341-8_6</a>","short":"R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.","ieee":"R. Frank and R. Seiringer, “Sharp fractional Hardy inequalities in half-spaces,” in <i>Around the Research of Vladimir Maz’ya I</i>, vol. 11, Springer, 2010, pp. 161–167."},"month":"01","publication":"Around the Research of Vladimir Maz'ya I"}