{
  "id": "2402.05464",
  "version": "v1",
  "published": "2024-02-08T07:46:27.000Z",
  "updated": "2024-02-08T07:46:27.000Z",
  "title": "Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces",
  "authors": [
    "Elona Agora",
    "Jorge Antezana",
    "María J. Carro"
  ],
  "comment": "7 pages",
  "journal": "Fourier Anal. Appl. (2016)",
  "doi": "10.1007/s00041-015-9456-4",
  "categories": [
    "math.CA"
  ],
  "abstract": "The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, $M$, on weighted Lorentz spaces $\\Lambda^p_u(w)$, whenever $p>1$. This solves a problem left open in \\cite{crs:crs}. Moreover, with this result, we complete the program of unifying the study of the boundedness of $M$ on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-08T07:46:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "42A50"
    ],
    "keywords": [
      "hardy littlewood maximal operator",
      "weighted lorentz spaces",
      "weak type boundedness",
      "problem left open",
      "hardy-littlewood maximal operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}