{ "id": "math/0611255", "version": "v1", "published": "2006-11-09T06:19:03.000Z", "updated": "2006-11-09T06:19:03.000Z", "title": "Sharp form for improved Moser-Trudinger inequality", "authors": [ "Yilong Ni", "Meijun Zhu" ], "comment": "9 pages", "categories": [ "math.AP" ], "abstract": "We prove that the improved Moser-Trudinger inequality with optimal coefficient $\\alpha =1/2$ holds for all functions on $S^2$ with zero moments.", "revisions": [ { "version": "v1", "updated": "2006-11-09T06:19:03.000Z" } ], "analyses": { "subjects": [ "58E35" ], "keywords": [ "moser-trudinger inequality", "sharp form", "zero moments" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11255N" } } }