{
  "id": "1108.0917",
  "version": "v1",
  "published": "2011-08-03T19:21:13.000Z",
  "updated": "2011-08-03T19:21:13.000Z",
  "title": "Bellman function technique for multilinear estimates and an application to generalized paraproducts",
  "authors": [
    "Vjekoslav Kovač"
  ],
  "comment": "28 pages, 7 figures/diagrams/tables",
  "journal": "Indiana Univ. Math. J. 60 No. 3 (2011), 813-846",
  "doi": "10.1512/iumj.2011.60.4784",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove L^p estimates for a class of two-dimensional multilinear forms that naturally generalize (dyadic variants of) both classical paraproducts and the twisted paraproduct introduced in [5] and studied in [1] and [6]. The method we use builds on the approach from [6] and we present it as a rather general technique for proving estimates on dyadic multilinear operators. In the particular application to \"generalized paraproducts\" this method is combined with combinatorics of integer partitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-03T19:21:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "bellman function technique",
      "generalized paraproducts",
      "multilinear estimates",
      "application",
      "two-dimensional multilinear forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.0917K"
    }
  }
}