{ "id": "0807.1825", "version": "v1", "published": "2008-07-11T11:28:05.000Z", "updated": "2008-07-11T11:28:05.000Z", "title": "The best constant in a fractional Hardy inequality", "authors": [ "Krzysztof Bogdan", "Bartłomiej Dyda" ], "comment": "10 pages", "categories": [ "math.AP", "math.PR" ], "abstract": "We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.", "revisions": [ { "version": "v1", "updated": "2008-07-11T11:28:05.000Z" } ], "analyses": { "subjects": [ "26D10", "31C25", "31B25", "46E35" ], "keywords": [ "fractional hardy inequality", "best constant", "optimal hardy inequality" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.1825B" } } }