{ "id": "1405.6167", "version": "v2", "published": "2014-05-23T18:32:46.000Z", "updated": "2015-02-16T13:08:55.000Z", "title": "Hardy's inequality for functions vanishing on a part of the boundary", "authors": [ "Moritz Egert", "Robert Haller-Dintelmann", "Joachim Rehberg" ], "comment": "26 pages, 2 figures, includes several improvements in Sections 6-8 allowing to relax the assumptions in the main results. Final version published at http://link.springer.com/article/10.1007%2Fs11118-015-9463-8", "categories": [ "math.AP" ], "abstract": "We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.", "revisions": [ { "version": "v1", "updated": "2014-05-23T18:32:46.000Z", "comment": "22 pages, 2 figures", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-02-16T13:08:55.000Z" } ], "analyses": { "subjects": [ "26D10", "26D15", "42B20", "42B37" ], "keywords": [ "hardys inequality", "functions vanishing", "geometric framework" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.6167E" } } }