{
  "id": "2101.01545",
  "version": "v1",
  "published": "2021-01-05T14:33:10.000Z",
  "updated": "2021-01-05T14:33:10.000Z",
  "title": "Boundedness of the Riesz potential in central Morrey--Orlicz spaces",
  "authors": [
    "Evgeniya Burtseva",
    "Lech Maligranda",
    "Katsuo Matsuoka"
  ],
  "comment": "22 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Boundedness of the maximal function and the Calder\\'on-Zygmund singular integrals in central Morrey-Orlicz spaces were proved in papers by the second and third authors. The weak-type estimates have also been proven. Here we show boundedness of the Riesz potential in central Morrey-Orlicz spaces and the corresponding weak-type version.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-05T14:33:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "47A30"
    ],
    "keywords": [
      "central morrey-orlicz spaces",
      "riesz potential",
      "boundedness",
      "calderon-zygmund singular integrals",
      "third authors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}