{
  "id": "1809.01300",
  "version": "v1",
  "published": "2018-09-05T02:16:19.000Z",
  "updated": "2018-09-05T02:16:19.000Z",
  "title": "Uniform Estimates for Oscillatory Integral Operators with Polynomial Phases",
  "authors": [
    "Zuoshunhua Shi"
  ],
  "comment": "50 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we shall prove the uniform sharp $L^p$ decay estimates for a class of oscillatory integral operators with polynomial phases. By this one-dimensional result, we can use the rotation method to obtain uniform sharp $L^p$ estimates of certain higher-dimensional oscillatory integral operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-05T02:16:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G10",
      "44A05"
    ],
    "keywords": [
      "polynomial phases",
      "uniform estimates",
      "higher-dimensional oscillatory integral operators",
      "uniform sharp",
      "decay estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}