{
  "id": "1004.2259",
  "version": "v4",
  "published": "2010-04-13T20:01:57.000Z",
  "updated": "2011-10-27T18:21:20.000Z",
  "title": "Multilinear embedding estimates for the fractional Laplacian",
  "authors": [
    "William Beckner"
  ],
  "comment": "AMSLaTeX, 13 pages, Expanded material",
  "categories": [
    "math.AP"
  ],
  "abstract": "Three novel multilinear embedding estimates for the fractional Laplacian are obtained in terms of trace integrals restricted to the diagonal. The resulting sharp inequalities may be viewed as extensions of the Hardy-Littlewood-Sobolev inequality, the Gagliardo-Nirenberg inequality and Pitt's inequality.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-10-27T18:21:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J70",
      "42B10",
      "35A15"
    ],
    "keywords": [
      "fractional laplacian",
      "novel multilinear embedding estimates",
      "pitts inequality",
      "gagliardo-nirenberg inequality",
      "hardy-littlewood-sobolev inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2259B"
    }
  }
}