{
  "id": "1410.6327",
  "version": "v1",
  "published": "2014-10-23T11:41:30.000Z",
  "updated": "2014-10-23T11:41:30.000Z",
  "title": "$B_w^u$-function spaces and their interpolation",
  "authors": [
    "Eiichi Nakai",
    "Takuya Sobukawa"
  ],
  "comment": "43 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We introduce $B_w^u$-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, $B^p$, CMO, local Morrey-type spaces, etc., and investigate the interpolation property of $B_w^u$-function spaces. We also apply it to the boundedness of linear and sublinear operators, for example, the Hardy-Littlewood maximal and fractional maximal operators, singular and fractional integral operators with rough kernel, the Littlewood-Paley operator, Marcinkiewicz operator, and so on.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-23T11:41:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "46B70",
      "46E30",
      "46E35",
      "42B20",
      "42B25"
    ],
    "keywords": [
      "function spaces",
      "fractional integral operators",
      "local morrey-type spaces",
      "fractional maximal operators",
      "marcinkiewicz operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.6327N"
    }
  }
}