{
  "id": "1009.0484",
  "version": "v1",
  "published": "2010-09-02T17:35:33.000Z",
  "updated": "2010-09-02T17:35:33.000Z",
  "title": "Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions",
  "authors": [
    "Pablo L. De Nápoli",
    "Irene Drelichman",
    "Ricardo G. Durán"
  ],
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in $\\mathbb{R}^n \\times \\mathbb{R}_+$ admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-02T17:35:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "46E35",
      "47G10"
    ],
    "keywords": [
      "radial functions",
      "caffarelli-kohn-nirenberg first order interpolation inequalities",
      "radially symmetric functions",
      "weighted trace inequalities",
      "power weights"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0484D"
    }
  }
}