{
  "id": "1709.07162",
  "version": "v1",
  "published": "2017-09-21T05:34:21.000Z",
  "updated": "2017-09-21T05:34:21.000Z",
  "title": "Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct",
  "authors": [
    "Dong Dong"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove the boundedness of a class of tri-linear operators consisting of a quasi piece of bilinear Hilbert transform whose scale equals to or dominates the scale of its linear counter part. Such type of operators is motivated by the tri-linear Hilbert transform and its curved versions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-21T05:34:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A50",
      "47G10",
      "42B99"
    ],
    "keywords": [
      "bilinear hilbert transform",
      "quasi piece",
      "paraproduct",
      "tri-linear hilbert transform",
      "linear counter part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}