{
  "id": "0710.5907",
  "version": "v1",
  "published": "2007-10-31T16:54:35.000Z",
  "updated": "2007-10-31T16:54:35.000Z",
  "title": "On an extension of the Blaschke-Santalo inequality",
  "authors": [
    "David Alonso-Gutierrez"
  ],
  "comment": "7 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $K$ be a convex body and $K^\\circ$ its polar body. Call $\\phi(K)=\\frac{1}{|K||K^\\circ|}\\int_K\\int_{K^\\circ}< x,y>^2 dxdy$. It is conjectured that $\\phi(K)$ is maximum when $K$ is the euclidean ball. In particular this statement implies the Blaschke-Santalo inequality. We verify this conjecture when $K$ is restricted to be a $p$--ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-31T16:54:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20",
      "52A40",
      "46B20"
    ],
    "keywords": [
      "blaschke-santalo inequality",
      "statement implies",
      "convex body",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.5907A"
    }
  }
}