{
  "id": "1612.03215",
  "version": "v1",
  "published": "2016-12-09T23:17:43.000Z",
  "updated": "2016-12-09T23:17:43.000Z",
  "title": "Orlicz--Lorentz centroid bodies",
  "authors": [
    "Van Hoang Nguyen"
  ],
  "comment": "22 pages",
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We extend the definition of the centroid body operator to an Orlicz--Lorentz centroid body operator on the star bodies in $\\mathbb R^n$, and establish the sharp affine isoperimetric inequality that bounds (from below) the volume of the Orlicz--Lorentz centroid body of any convex body containing the origin in its interior by the volume of this convex body.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-09T23:17:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A40"
    ],
    "keywords": [
      "orlicz-lorentz centroid body operator",
      "convex body",
      "sharp affine isoperimetric inequality",
      "star bodies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}