{
  "id": "math/0407106",
  "version": "v1",
  "published": "2004-07-07T13:56:21.000Z",
  "updated": "2004-07-07T13:56:21.000Z",
  "title": "Solution of Monge-Ampère Equation on Wiener Space for log-concave measures: General case",
  "authors": [
    "Denis Feyel",
    "A. S. Ustunel"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We show the existence of the strong solutions of the Monge-Ampere equation for the log-concave measures without any regularity assumption. In particular the measures with density of the form $\\exp -f$, where $f$ is an $H$-convex function which may take the value $\\infty$ on a set of positive measure are included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-07T13:56:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H07",
      "60H05",
      "46G12",
      "47H05"
    ],
    "keywords": [
      "log-concave measures",
      "monge-ampère equation",
      "wiener space",
      "general case",
      "strong solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7106F"
    }
  }
}