{
  "id": "1907.09953",
  "version": "v1",
  "published": "2019-07-23T15:17:47.000Z",
  "updated": "2019-07-23T15:17:47.000Z",
  "title": "Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions",
  "authors": [
    "Zunwei Fu",
    "Elodie Pozzi",
    "Qingyan Wu"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We establish the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new characterizations of the weighted BMO space. Finally, a concrete example shows the local version of commutators also has an independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-23T15:17:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "30L99",
      "42B25"
    ],
    "keywords": [
      "local version",
      "maximal functions",
      "homogeneous type",
      "commutator theorems",
      "weighted bmo space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}