{
  "id": "1007.2005",
  "version": "v1",
  "published": "2010-07-12T22:54:45.000Z",
  "updated": "2010-07-12T22:54:45.000Z",
  "title": "The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited",
  "authors": [
    "Aldo Bazan",
    "Wladimir Neves"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper some important inequalities are revisited. First, as motivation, we give another proof of the Hardy's inequality applying convenient vector fields as introduced by Mitidieri, see [6]. Then, we investigate a particular case of the Caffarelli-Kohn-Nirenberg's inequality. Finally, we study the Rellic's inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-12T22:54:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "caffarelli-kohn-nirenberg inequalities",
      "inequality applying convenient vector fields",
      "hardys inequality applying convenient vector",
      "rellics inequality",
      "important inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.2005B"
    }
  }
}