{
  "id": "2005.03548",
  "version": "v1",
  "published": "2020-05-07T15:19:23.000Z",
  "updated": "2020-05-07T15:19:23.000Z",
  "title": "Off-diagonal estimates for bi-commutators",
  "authors": [
    "Emil Airta",
    "Tuomas Hytönen",
    "Kangwei Li",
    "Henri Martikainen",
    "Tuomas Oikari"
  ],
  "comment": "46 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the bi-commutators $[T_1, [b, T_2]]$ of pointwise multiplication and Calder\\'on-Zygmund operators, and characterize their $L^{p_1}L^{p_2} \\to L^{q_1}L^{q_2}$ boundedness for several off-diagonal regimes of the mixed-norm integrability exponents $(p_1,p_2)\\neq(q_1,q_2)$. The strategy is based on a bi-parameter version of the recent approximate weak factorization method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-07T15:19:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "off-diagonal estimates",
      "bi-commutators",
      "approximate weak factorization method",
      "mixed-norm integrability exponents",
      "off-diagonal regimes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}