{
  "id": "1709.01701",
  "version": "v1",
  "published": "2017-09-06T07:40:42.000Z",
  "updated": "2017-09-06T07:40:42.000Z",
  "title": "Characterization of compactness of commutators of bilinear singular integral operators",
  "authors": [
    "Lucas Chaffee",
    "Peng Chen",
    "Yanchang Han",
    "Rodolfo Torres",
    "Lesley A. Ward"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The commutators of bilinear Calder\\'on-Zygmund operators and point-wise multiplication with a symbol in $cmo$ are bilinear compact operators on product of Lebesgue spaces. This work shows that, for certain non-degenerate Calder\\'on-Zygmund operators, the symbol being in $cmo$ is not only sufficient but actually necessary for the compactness of the commutators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-06T07:40:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "47B07",
      "42B35"
    ],
    "keywords": [
      "bilinear singular integral operators",
      "commutators",
      "compactness",
      "characterization",
      "bilinear compact operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}