{
  "id": "1110.1890",
  "version": "v1",
  "published": "2011-10-09T22:14:32.000Z",
  "updated": "2011-10-09T22:14:32.000Z",
  "title": "Representation of bi-parameter singular integrals by dyadic operators",
  "authors": [
    "Henri Martikainen"
  ],
  "comment": "26 pages",
  "journal": "Adv. Math. 229 (3) (2012) 1734-1761",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a dyadic representation theorem for bi-parameter singular integrals. That is, we represent certain bi-parameter operators as rapidly decaying averages of what we call bi-parameter shifts. A new version of the product space T1 theorem is established as a consequence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-09T22:14:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "bi-parameter singular integrals",
      "dyadic operators",
      "product space t1 theorem",
      "dyadic representation theorem",
      "bi-parameter shifts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.1890M"
    }
  }
}