{
  "id": "1605.08603",
  "version": "v1",
  "published": "2016-05-27T12:20:31.000Z",
  "updated": "2016-05-27T12:20:31.000Z",
  "title": "Behaviour of the Brascamp--Lieb constant",
  "authors": [
    "Jonathan Bennett",
    "Neal Bez",
    "Michael G. Cowling",
    "Taryn C. Flock"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general Brascamp--Lieb inequality as a function of the underlying linear transformations. In this paper we prove that this constant is continuous, but is not in general differentiable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-27T12:20:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brascamp-lieb constant",
      "multilinear harmonic analysis",
      "general brascamp-lieb inequality",
      "raises questions",
      "local behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}