{
  "id": "1208.6238",
  "version": "v1",
  "published": "2012-08-30T17:09:27.000Z",
  "updated": "2012-08-30T17:09:27.000Z",
  "title": "A note on the polynomial Bohnenblust-Hille inequality",
  "authors": [
    "Daniel Nuñez-Alarcón"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Recently, in paper published in the Annals of Mathematics, it was shown that the Bohnenblust-Hille inequality for (complex) homogeneous polynomials is hypercontractive. However, and to the best of our knowledge, there is no result providing (nontrivial) lower bounds for the optimal constants for n-homogeneous polynomials (n > 2). In this short note we provide lower bounds for these famous constants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-30T17:09:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial bohnenblust-hille inequality",
      "lower bounds",
      "optimal constants",
      "short note",
      "famous constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.6238N"
    }
  }
}