{
  "id": "1308.3518",
  "version": "v1",
  "published": "2013-08-15T21:54:22.000Z",
  "updated": "2013-08-15T21:54:22.000Z",
  "title": "Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials",
  "authors": [
    "Xiaochun Li",
    "Lechao Xiao"
  ],
  "comment": "44 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the bilinear Hilbert transform and bilinear maximal functions associated to polynomial curves and obtain uniform $L^r$ estimates for $r>\\frac{d-1}{d}$ and this index is sharp up to the end point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-15T21:54:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bilinear maximal functions",
      "bilinear hilbert transform",
      "uniform estimates",
      "polynomial curves",
      "end point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.3518L"
    }
  }
}