{ "id": "1701.00901", "version": "v1", "published": "2017-01-04T05:40:32.000Z", "updated": "2017-01-04T05:40:32.000Z", "title": "Norm Constants in cases of the Caffarelli-Kohn-Nirenberg inequality", "authors": [ "Sagun Chanillo" ], "categories": [ "math.AP" ], "abstract": "By methods based on elementary Linear Algebra we obtain sharp constants in cases of the Caffarelli-Kohn-Nirenberg inequality via quasi-conformal changes of variables. Some of our results were obtained earlier by Lam and Lu. Our proofs are radical simplifications of earlier proofs.", "revisions": [ { "version": "v1", "updated": "2017-01-04T05:40:32.000Z" } ], "analyses": { "subjects": [ "35J70" ], "keywords": [ "caffarelli-kohn-nirenberg inequality", "norm constants", "elementary linear algebra", "earlier proofs", "quasi-conformal changes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }