{
  "id": "0805.0107",
  "version": "v2",
  "published": "2008-05-01T15:51:07.000Z",
  "updated": "2008-07-10T18:37:06.000Z",
  "title": "Bilinear Hilbert transforms along curves I. The monomial case",
  "authors": [
    "Xiaochun Li"
  ],
  "comment": "1 figure",
  "categories": [
    "math.CA"
  ],
  "abstract": "We establish an L^2 \\times L^2 to L^1 estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multi-linear oscillatory integrals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-10T18:37:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "bilinear hilbert transform",
      "monomial case",
      "multi-linear oscillatory integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.0107L"
    }
  }
}