{
  "id": "1207.2662",
  "version": "v1",
  "published": "2012-07-11T14:56:08.000Z",
  "updated": "2012-07-11T14:56:08.000Z",
  "title": "A simple proof that the power $\\frac{2m}{m+1}$ in the Bohnenblust--Hille inequalities is sharp",
  "authors": [
    "Daniel Nuñez-Alarcón",
    "Daniel Pellegrino"
  ],
  "comment": "This note will be later incorporated in another preprint",
  "categories": [
    "math.FA"
  ],
  "abstract": "The power $\\frac{2m}{m+1}$ in the polynomial (and multilinear) Bohnenblust--Hille inequality is optimal. This result is well-known but its proof highly nontrivial. In this note we present a quite simple proof of this fact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-11T14:56:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bohnenblust-hille inequality",
      "quite simple proof",
      "proof highly nontrivial",
      "well-known",
      "polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.2662N"
    }
  }
}