{
  "id": "2010.01538",
  "version": "v1",
  "published": "2020-10-04T11:10:50.000Z",
  "updated": "2020-10-04T11:10:50.000Z",
  "title": "Off-diagonal estimates for commutators of bi-parameter singular integrals",
  "authors": [
    "Tuomas Oikari"
  ],
  "comment": "36 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the commutators $[b,T]$ of pointwise multiplications and bi-parameter Calder\\'on-Zygmund operators and characterize their off-diagonal $L^{p_1}L^{p_2} \\to L^{q_1}L^{q_2}$ boundedness in the range $(1,\\infty)$ for several of the mixed norm integrability exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-04T11:10:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "bi-parameter singular integrals",
      "off-diagonal estimates",
      "commutators",
      "mixed norm integrability exponents",
      "bi-parameter calderon-zygmund operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}