{
  "id": "2106.03295",
  "version": "v1",
  "published": "2021-06-07T01:49:21.000Z",
  "updated": "2021-06-07T01:49:21.000Z",
  "title": "A note on extrapolation of compactness",
  "authors": [
    "Shenyu Liu",
    "Huoxiong Wu",
    "Dongyong Yang"
  ],
  "comment": "13pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This note is devoted to the study of Hyt\\\"{o}nen's extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight setting are obtained. As applications, we obtain two-weight compactness of commutators of Calder\\'{o}n--Zygmund operators, fractional integrals and bilinear Calder\\'{o}n--Zygmund operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-07T01:49:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "46B70",
      "42B35",
      "42B20"
    ],
    "keywords": [
      "weighted lebesgue spaces",
      "extrapolation theorem",
      "linear operators",
      "two-weight compactness",
      "fractional integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}