{
  "id": "1811.05520",
  "version": "v1",
  "published": "2018-11-13T20:16:20.000Z",
  "updated": "2018-11-13T20:16:20.000Z",
  "title": "Decay Rate of n-Linear Oscillatory Integral Operators in $\\mathbb{R}^2$",
  "authors": [
    "Aleksandra Niepla",
    "Kevin O'Neill",
    "Zhen Zeng"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we prove $L^p$ decay estimates for multilinear oscillatory integrals in $\\mathbb{R}^2$, establishing sharpness through a scaling argument. The result in this paper is a generalization of the previous work by Gressman and Xiao (2016).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-13T20:16:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "n-linear oscillatory integral operators",
      "decay rate",
      "multilinear oscillatory integrals",
      "decay estimates",
      "establishing sharpness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}