{
  "id": "2309.07660",
  "version": "v1",
  "published": "2023-09-14T12:24:05.000Z",
  "updated": "2023-09-14T12:24:05.000Z",
  "title": "Weighted mixed endpoint estimates of Fefferman-Stein type for commutators of singular integral operators",
  "authors": [
    "Fabio Berra",
    "Gladis Pradolini",
    "Jorgelina Recchi"
  ],
  "comment": "26 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We deal with mixed weak estimates of Fefferman-Stein type for higher order commutators of Calder\\'on-Zygmund operators with BMO symbol. The results obtained are Fefferman-Stein inequalities that include the estimates proved in \\cite{BCP22(JMS)} for the case of singular integral operators, as well as the classical weak endpoint estimate for commutators given in \\cite{PP01}. We also consider commutators of operators involving less regular kernels satisfying an $L^{\\Phi}$--H\\\"ormander condition. Particularly, the obtained results contain some previous estimates proved in \\cite{BCP22(JMS)} and \\cite{Lorente-Martell-Perez-Riveros}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-14T12:24:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "singular integral operators",
      "weighted mixed endpoint estimates",
      "fefferman-stein type",
      "higher order commutators",
      "classical weak endpoint estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}