{
  "id": "2206.08340",
  "version": "v1",
  "published": "2022-06-01T12:57:42.000Z",
  "updated": "2022-06-01T12:57:42.000Z",
  "title": "Characterization of Lipschitz Functions via the Commutators of the Fractional Maximal Function on Stratified Lie Groups",
  "authors": [
    "J. L. Wu"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, the main aim is to consider the boundedness of the fractional maximal commutator $M_{\\alpha,b}$ and the nonlinear commutator $[b, M_{\\alpha}]$ on the Lebesgue spaces over some stratified Lie group $\\mathbb{G}$ when $b$ belongs to the Lipschitz space, by which some new characterizations of the Lipschitz spaces on Lie group are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-01T12:57:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "43A80"
    ],
    "keywords": [
      "stratified lie group",
      "fractional maximal function",
      "lipschitz functions",
      "characterization",
      "lipschitz space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}