{
  "id": "1702.03871",
  "version": "v1",
  "published": "2017-02-13T16:58:15.000Z",
  "updated": "2017-02-13T16:58:15.000Z",
  "title": "Marcinkiewicz theorem for Lorentz gamma spaces",
  "authors": [
    "Vít Musil",
    "Rastislav Oľhava"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper is devoted to the interpolation principle between spaces of weak type. We characterize interpolation spaces between two Marcinkiewicz spaces in terms of Hardy type operators involving suprema. We study general properties of such operators and their behavior on Lorentz gamma spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-13T16:58:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "46B70"
    ],
    "keywords": [
      "lorentz gamma spaces",
      "marcinkiewicz theorem",
      "study general properties",
      "hardy type operators",
      "interpolation principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}