{
  "id": "2411.15009",
  "version": "v1",
  "published": "2024-11-22T15:34:07.000Z",
  "updated": "2024-11-22T15:34:07.000Z",
  "title": "Some sharp $L^2 \\to L^p$ decay estimates for $(2+1)$-dimensional degenerate oscillatory integral operators",
  "authors": [
    "Shaozhen Xu"
  ],
  "comment": "This note has been submitted to a journal on August 22nd",
  "categories": [
    "math.CA"
  ],
  "abstract": "We investigate $(2+1)-$dimensional oscillatory integral operators characterized by polynomial phase functions. By employing Stein's complex interpolation, we derive sharp $L^2\\to L^p$ decay estimates for these operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-22T15:34:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "dimensional degenerate oscillatory integral operators",
      "decay estimates",
      "dimensional oscillatory integral operators",
      "polynomial phase functions",
      "employing steins complex interpolation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}