{
  "id": "0910.5508",
  "version": "v2",
  "published": "2009-10-28T22:29:03.000Z",
  "updated": "2009-12-07T15:02:35.000Z",
  "title": "On weighted inequalities for fractional integrals of radial functions",
  "authors": [
    "Pablo L. De Napoli",
    "Irene Drelichman",
    "Ricardo G. Duran"
  ],
  "comment": "10 pages; added references",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a weighted version of the Hardy-Littlewood-Sobolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classical inequality due to Stein and Weiss can be improved in this particular case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-07T15:02:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "47G10",
      "31B10"
    ],
    "keywords": [
      "fractional integrals",
      "radial functions",
      "weighted inequalities",
      "hardy-littlewood-sobolev inequality",
      "radially symmetric functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5508D"
    }
  }
}