{
  "id": "0803.0788",
  "version": "v2",
  "published": "2008-03-06T04:33:13.000Z",
  "updated": "2008-03-06T21:18:55.000Z",
  "title": "Composition of Haar Paraproducts: The Random Case",
  "authors": [
    "Dmitriy Bilyk",
    "Michael Lacey",
    "Xiaochun Li",
    "Brett Wick"
  ],
  "comment": "13 pages. Submitted. v2: \\showkeys commented out, with other minor changes",
  "journal": "Anal. Math. 35 (2009), no. 1, 1-13",
  "doi": "10.1007/s10476-009-0101-9",
  "categories": [
    "math.CA"
  ],
  "abstract": "When is the composition of paraproducts bounded? This is an important, and difficult question, related to to a question of Sarason on composition of Hankel matrices, and the two-weight problem for the Hilbert transform. We consider randomized variants of this question, finding non-classical characterizations, for dyadic paraproducts.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-06T21:18:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "haar paraproducts",
      "random case",
      "composition",
      "dyadic paraproducts",
      "two-weight problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.0788B"
    }
  }
}