{
  "id": "1705.04050",
  "version": "v1",
  "published": "2017-05-11T07:45:13.000Z",
  "updated": "2017-05-11T07:45:13.000Z",
  "title": "Norm estimates for Bessel-Riesz operators on generalized Morrey spaces",
  "authors": [
    "Mochammad Idris",
    "Hendra Gunawan",
    "Eridani"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We revisit the properties of Bessel-Riesz operators and refine the proof of the boundedness of these operators on generalized Morrey spaces using Young's inequality. We also obtain an estimate for the norm of these operators on generalized Morrey spaces. In addition, we reprove the boundedness of fractional integral operators on generalized Morrey spaces and estimate their norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-11T07:45:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "26A33",
      "42B25",
      "26D10"
    ],
    "keywords": [
      "generalized morrey spaces",
      "bessel-riesz operators",
      "norm estimates",
      "fractional integral operators",
      "boundedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}