{
  "id": "1605.06723",
  "version": "v1",
  "published": "2016-05-22T01:12:22.000Z",
  "updated": "2016-05-22T01:12:22.000Z",
  "title": "The boundedness of Bessel-Riesz operators on generalized Morrey spaces",
  "authors": [
    "M. Idris",
    "H. Gunawan",
    "Eridani"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator. Our results reveal that the norm of the operators is dominated by the norm of the kernels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-22T01:12:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "26A33",
      "42B25",
      "26D10",
      "47G10"
    ],
    "keywords": [
      "generalized morrey spaces",
      "bessel-riesz operators",
      "boundedness",
      "usual dyadic decomposition",
      "hardy-littlewood maximal operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}