{
  "id": "0905.3839",
  "version": "v2",
  "published": "2009-05-23T18:05:55.000Z",
  "updated": "2010-02-02T22:28:22.000Z",
  "title": "Sharp weighted bounds for fractional integral operators",
  "authors": [
    "Michael Lacey",
    "Kabe Moen",
    "Carlos Perez",
    "Rodolfo H. Torres"
  ],
  "comment": "v2: changes made to reflect referee's report. Final version of the paper. To appear in J Func Anal",
  "journal": "J. Funct. Anal. 259 (2010), no. 5, 1073-1097",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp boundsare obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal version of the extrapolation theorem of Rubio de Francia and characterizations of two-weight norm inequalities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-02T22:28:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "fractional integral operators",
      "sharp weighted bounds",
      "two-weight norm inequalities",
      "sharp off-diagonal version",
      "associated fractional maximal functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.3839L"
    }
  }
}