{
  "id": "1612.00968",
  "version": "v1",
  "published": "2016-12-03T13:52:01.000Z",
  "updated": "2016-12-03T13:52:01.000Z",
  "title": "Characterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function",
  "authors": [
    "Pu Zhang"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Let $M$ be the Hardy-Littlewood maximal function and $b$ be a locally integrable function. Denote by $M_b$ and $[b,M]$ the maximal commutator and the (nonlinear) commutator of $M$ with $b$. In this paper, the author consider the boundedness of $M_b$ and $[b,M]$ on Lebesgue spaces and Morrey spaces when $b$ belongs to the Lipschitz space, by which some new characterizations of the Lipschitz spaces are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-03T13:52:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B20",
      "42B35",
      "46E30"
    ],
    "keywords": [
      "hardy-littlewood maximal function",
      "lipschitz space",
      "characterization",
      "maximal commutator",
      "lebesgue spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}