{
  "id": "1803.07545",
  "version": "v1",
  "published": "2018-03-20T17:42:40.000Z",
  "updated": "2018-03-20T17:42:40.000Z",
  "title": "A compactness result for BV functions in metric spaces",
  "authors": [
    "Sebastiano Don",
    "Davide Vittone"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We prove a compactness result for bounded sequences $(u_j)_j$ of functions with bounded variation in metric spaces $(X,d_j)$ where the space $X$ is fixed but the metric may vary with $j$. We also provide an application to Carnot-Carath\\'eodory spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-20T17:42:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "26B30",
      "26D10",
      "53C17"
    ],
    "keywords": [
      "metric spaces",
      "compactness result",
      "bv functions",
      "carnot-caratheodory spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}