{
  "id": "2009.10409",
  "version": "v1",
  "published": "2020-09-22T09:18:45.000Z",
  "updated": "2020-09-22T09:18:45.000Z",
  "title": "On the discrete functional $l_p$ Minkowski problem",
  "authors": [
    "Tuo Wang"
  ],
  "categories": [
    "math.MG"
  ],
  "abstract": "The discrete functional $L_p$ Minkowski problem is posed and solved. As a consequence, the general affine P\\'{o}lya-Szeg\\\"{o} principle and the general affine Sobolev inequalities are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-22T09:18:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minkowski problem",
      "discrete functional",
      "general affine sobolev inequalities",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}