{
  "id": "1311.0400",
  "version": "v4",
  "published": "2013-11-02T18:20:33.000Z",
  "updated": "2014-04-15T22:34:54.000Z",
  "title": "Some properties of the Riesz potentials in Dunkl analysis",
  "authors": [
    "Chokri Abdelkefi",
    "Mongi Rachdi"
  ],
  "comment": "22 pages. arXiv admin note: text overlap with arXiv:1301.6267, arXiv:1305.4394, arXiv:1208.5034",
  "categories": [
    "math.FA"
  ],
  "abstract": "In Dunkl theory on Rd which generalizes classical Fourier analysis, we study first the behavior at infinity of the Riesz potential of a non compactly supported function. Second, we give for 1<p<=q<infinite, weighted (Lp,Lq) boundedness of the Riesz potentials with sufficient conditions. As application, we prove a weighted generalized Sobolev inequality.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-04-15T22:34:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10",
      "46E30",
      "44A35"
    ],
    "keywords": [
      "riesz potential",
      "dunkl analysis",
      "properties",
      "generalizes classical fourier analysis",
      "dunkl theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.0400A"
    }
  }
}