{
  "id": "0906.2064",
  "version": "v3",
  "published": "2009-06-11T09:44:26.000Z",
  "updated": "2010-09-09T16:23:52.000Z",
  "title": "Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis",
  "authors": [
    "Jonathan Bennett",
    "Neal Bez"
  ],
  "comment": "34 pages, exposition revised",
  "categories": [
    "math.CA"
  ],
  "abstract": "We use the method of induction-on-scales to prove certain diffeomorphism invariant nonlinear Brascamp--Lieb inequalities. We provide applications to multilinear convolution inequalities and the restriction theory for the Fourier transform, extending to higher dimensions recent work of Bejenaru--Herr--Tataru and Bennett--Carbery--Wright.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-09T16:23:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A12",
      "42B10",
      "44A35"
    ],
    "keywords": [
      "harmonic analysis",
      "diffeomorphism invariant nonlinear brascamp-lieb inequalities",
      "applications",
      "multilinear convolution inequalities",
      "higher dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2064B"
    }
  }
}