{
  "id": "1904.09572",
  "version": "v1",
  "published": "2019-04-21T09:59:33.000Z",
  "updated": "2019-04-21T09:59:33.000Z",
  "title": "On the compactness of oscillation and variation of commutators",
  "authors": [
    "Weichao Guo",
    "Yongming Wen",
    "Huoxiong Wu",
    "Dongyong Yang"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, we establish a new $CMO(\\mathbb{R}^n)$ characterization via the compactness of oscillation and variation of commutators on weighted Lebesgue spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-21T09:59:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "oscillation",
      "singular integral operators",
      "weighted compactness result",
      "weighted lebesgue spaces",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}