{
  "id": "1203.1441",
  "version": "v1",
  "published": "2012-03-07T11:19:34.000Z",
  "updated": "2012-03-07T11:19:34.000Z",
  "title": "Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces",
  "authors": [
    "Hua Wang"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Let $M_{\\Omega,\\alpha}$ and $T_{\\Omega,\\alpha}$ be the fractional maximal and integral operators with rough kernels, where $0<\\alpha<n$. In this paper, we shall study the continuity properties of $M_{\\Omega,\\alpha}$ and $T_{\\Omega,\\alpha}$ on the weighted Morrey spaces $L^{p,\\kappa}(w)$. The boundedness of their commutators with BMO functions is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-07T11:19:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "weighted morrey spaces",
      "fractional integral operators",
      "rough kernels",
      "boundedness",
      "continuity properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1441W"
    }
  }
}