{
  "id": "math/0609553",
  "version": "v1",
  "published": "2006-09-20T12:18:09.000Z",
  "updated": "2006-09-20T12:18:09.000Z",
  "title": "Some functional forms of Blaschke-Santaló inequality",
  "authors": [
    "Matthieu Fradelizi",
    "Mathieu Meyer"
  ],
  "comment": "19 pages, to appear in Mathematische Zeitschrift",
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We establish new functional versions of the Blaschke-Santal\\'o inequality on the volume product of a convex body which generalize to the non-symmetric setting an inequality of K. Ball and we give a simple proof of the case of equality. As a corollary, we get some inequalities for $\\log$-concave functions and Legendre transforms which extend the recent result of Artstein, Klartag and Milman, with its equality case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-20T12:18:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A40"
    ],
    "keywords": [
      "functional forms",
      "functional versions",
      "legendre transforms",
      "concave functions",
      "blaschke-santalo inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9553F"
    }
  }
}