{
  "id": "1109.1300",
  "version": "v2",
  "published": "2011-09-06T21:02:00.000Z",
  "updated": "2012-03-17T18:58:52.000Z",
  "title": "Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure",
  "authors": [
    "Jong-Guk Bak",
    "Daniel M. Oberlin",
    "Andreas Seeger"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Consider the Fourier restriction operator associated to a curve in $R^d$, $d\\ge 3$. We prove for various classes of curves the endpoint restricted strong type estimate with respect to affine arclength measure on the curve. An essential ingredient is an interpolation result for multilinear operators with symmetries acting on sequences of vector-valued functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-17T18:58:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10",
      "46B70"
    ],
    "keywords": [
      "affine arclength measure",
      "endpoint estimate",
      "fourier transforms",
      "endpoint restricted strong type estimate",
      "fourier restriction operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.1300B"
    }
  }
}