{
  "id": "1309.6485",
  "version": "v1",
  "published": "2013-09-25T12:40:29.000Z",
  "updated": "2013-09-25T12:40:29.000Z",
  "title": "Estimates for measures of sections of convex bodies",
  "authors": [
    "Alexander Koldobsky"
  ],
  "categories": [
    "math.MG"
  ],
  "abstract": "A $\\sqrt{n}$ estimate in the hyperplane problem with arbitrary measures has recently been proved in \\cite{K3}. In this note we present analogs of this result for sections of lower dimensions and in the complex case. We deduce these inequalities from stability in comparison problems for different generalizations of intersection bodies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-25T12:40:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20"
    ],
    "keywords": [
      "convex bodies",
      "comparison problems",
      "hyperplane problem",
      "complex case",
      "arbitrary measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.6485K"
    }
  }
}