{
  "id": "2204.13898",
  "version": "v1",
  "published": "2022-04-29T06:21:44.000Z",
  "updated": "2022-04-29T06:21:44.000Z",
  "title": "Calderón-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces",
  "authors": [
    "F. Deringoz",
    "V. S. Guliyev",
    "M. N. Omarova",
    "M. A. Ragusa"
  ],
  "comment": "25 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calder\\'{o}n-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calder\\'{o}n-Zygmund operators on these spaces. Moreover, the boundedness of Calder\\'{o}n-Zygmund operators in the vector-valued setting is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-29T06:21:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25",
      "42B35",
      "46E30"
    ],
    "keywords": [
      "generalized weighted orlicz-morrey spaces",
      "calderón-zygmund operators",
      "commutators",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}