{
  "id": "2307.06445",
  "version": "v1",
  "published": "2023-07-12T20:37:10.000Z",
  "updated": "2023-07-12T20:37:10.000Z",
  "title": "Small cap decoupling for paraboloid in $\\mathbb{R}^n$",
  "authors": [
    "Larry Guth",
    "Dominique Maldague",
    "Changkeun Oh"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We extend the small cap decoupling program established by Demeter, Guth, and Want to paraboloids in $\\mathbb{R}^n$ for some range of $p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-12T20:37:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "paraboloid",
      "small cap decoupling program"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}