{
  "id": "0712.3730",
  "version": "v2",
  "published": "2007-12-21T16:04:21.000Z",
  "updated": "2008-03-10T15:30:27.000Z",
  "title": "Subelliptic Bourgain-Brezis Estimates on Groups",
  "authors": [
    "Sagun Chanillo",
    "Jean Van Schaftingen"
  ],
  "comment": "15 pages, v2 has some typos fixed in lemma 2.1",
  "journal": "Math. Res. Lett. 16 (2009), no. 3, 487-501",
  "categories": [
    "math.AP",
    "math.CV"
  ],
  "abstract": "We show that divergence free vector fields which belong to L^1 on stratified, nilpotent groups are in the dual space of functions whose sub-gradient are L^Q integrable where Q is the homogeneous dimension of the group. This was first obtained on Euclidean space by Bourgain and Brezis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-10T15:30:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "35B65",
      "35H20",
      "43A80"
    ],
    "keywords": [
      "subelliptic bourgain-brezis estimates",
      "divergence free vector fields",
      "euclidean space",
      "nilpotent groups",
      "dual space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3730C"
    }
  }
}