{
  "id": "2207.10067",
  "version": "v1",
  "published": "2022-07-20T17:52:36.000Z",
  "updated": "2022-07-20T17:52:36.000Z",
  "title": "Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups",
  "authors": [
    "Vagif S. Guliyev"
  ],
  "comment": "AMS-LaTeX 22 pages. arXiv admin note: text overlap with arXiv:1803.03069",
  "doi": "10.1016/S0550-3213(01)00405-9",
  "categories": [
    "math.FA"
  ],
  "abstract": "We give necessary and sufficient conditions for the boundedness of the maximal commutators $M_{b}$, the commutators of the maximal operator $[b, M]$ and the commutators of the sharp maximal operator $[b, M^{\\sharp}]$ in Orlicz spaces $L^{\\Phi}(\\mathbb{G})$ on any stratified Lie group $\\mathbb{G}$ when $b$ belongs to Lipschitz spaces $\\dot{\\Lambda}_{\\beta}(\\mathbb{G})$. We obtain some new characterizations for certain subclasses of Lipschitz spaces $\\dot{\\Lambda}_{\\beta}(\\mathbb{G})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-20T17:52:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B35",
      "43A80",
      "46E30",
      "B.2"
    ],
    "keywords": [
      "stratified lie group",
      "orlicz spaces",
      "lipschitz functions",
      "maximal function",
      "characterizations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}