{
  "id": "1806.03428",
  "version": "v1",
  "published": "2018-06-09T07:23:58.000Z",
  "updated": "2018-06-09T07:23:58.000Z",
  "title": "BV functions and Besov spaces associated with Dirichlet spaces",
  "authors": [
    "Patricia Alonso-Ruiz",
    "Fabrice Baudoin",
    "Li Chen",
    "Naotaka Kajino",
    "Luke Rogers",
    "Nageswari Shanmugalingam",
    "Alexander Teplyaev"
  ],
  "comment": "121 pages, several figures",
  "categories": [
    "math.FA",
    "math.AP",
    "math.MG",
    "math.PR"
  ],
  "abstract": "We develop a theory of bounded variation functions and Besov spaces in abstract Dirichlet spaces which unifies several known examples and applies to new situations, including fractals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-09T07:23:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31C25",
      "46E35",
      "26A45",
      "28A80",
      "60J45"
    ],
    "keywords": [
      "besov spaces",
      "bv functions",
      "abstract dirichlet spaces",
      "bounded variation functions",
      "situations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 121,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}