{
  "id": "2210.01326",
  "version": "v1",
  "published": "2022-10-04T02:41:33.000Z",
  "updated": "2022-10-04T02:41:33.000Z",
  "title": "A new proof of an inequality of Bourgain",
  "authors": [
    "Polona Durcik",
    "Joris Roos"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The purpose of this short note is to demonstrate how some techniques from additive combinatorics recently developed by Peluse and Peluse-Prendiville can be applied to give an alternative proof for a trilinear smoothing inequality originally due to Bourgain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-04T02:41:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short note",
      "trilinear smoothing inequality",
      "demonstrate",
      "additive combinatorics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}