{
  "id": "2007.00468",
  "version": "v1",
  "published": "2020-06-30T11:21:15.000Z",
  "updated": "2020-06-30T11:21:15.000Z",
  "title": "Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces",
  "authors": [
    "Minglei Shi",
    "Ryutaro Arai",
    "Eiichi Nakai"
  ],
  "comment": "45 pages. arXiv admin note: text overlap with arXiv:1812.09148",
  "categories": [
    "math.FA"
  ],
  "abstract": "We consider the commutators $[b,T]$ and $[b,I_{\\rho}]$ on Orlicz-Morrey spaces, where $T$ is a Calder\\'on-Zygmund operator, $I_{\\rho}$ is a generalized fractional integral operator and $b$ is a function in generalized Campanato spaces. We give a necessary and sufficient condition for the boundedness of the commutators on Orlicz-Morrey spaces. To do this we prove the boundedness of generalized fractional maximal operators on Orlicz-Morrey spaces. Moreover, we introduce Orlicz-Campanato spaces and establish their relations to Orlicz-Morrey spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-30T11:21:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "46E30",
      "42B20",
      "42B25"
    ],
    "keywords": [
      "orlicz-morrey spaces",
      "commutators",
      "generalized fractional integral operator",
      "generalized fractional maximal operators",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}