{
  "id": "math/0311039",
  "version": "v1",
  "published": "2003-11-04T18:07:58.000Z",
  "updated": "2003-11-04T18:07:58.000Z",
  "title": "On multilinear oscillatory integrals, nonsingular and singular",
  "authors": [
    "Michael Christ",
    "Xiaochun Li",
    "Terence Tao",
    "Christoph Thiele"
  ],
  "comment": "24 pages. See also http://www.math.berkeley.edu/~mchrist/preprints.html",
  "categories": [
    "math.CA"
  ],
  "abstract": "Basic questions concerning nonsingular multilinear operators with oscillatory factors are posed and partially answered. Lebesgue space norm inequalities are established for multilinear integral operators of Calderon-Zygmund type which incorporate oscillatory factors exp(iP), where P is a real-valued polynomial with large coefficients. A related problem concerning upper bounds for measures of sublevel sets is solved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-04T18:07:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10"
    ],
    "keywords": [
      "multilinear oscillatory integrals",
      "problem concerning upper bounds",
      "basic questions concerning nonsingular multilinear",
      "questions concerning nonsingular multilinear operators",
      "lebesgue space norm inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11039C"
    }
  }
}