{
  "id": "1903.06976",
  "version": "v1",
  "published": "2019-03-16T19:31:42.000Z",
  "updated": "2019-03-16T19:31:42.000Z",
  "title": "Transfer operators, atomic decomposition and the Bestiary",
  "authors": [
    "Daniel Smania"
  ],
  "comment": "45 pages, 2 figures",
  "categories": [
    "math.DS",
    "math.AP",
    "math.CA",
    "math.FA"
  ],
  "abstract": "Arbieto and S. recently used atomic decomposition to study transfer operators. We give a long list of old and new expanding dynamical systems for which those results can be applied, obtaining the quasi-compactness of transfer operator acting on Besov spaces of measure spaces with a good grid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-16T19:31:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "37D20",
      "37C40",
      "30H25",
      "37D35",
      "37A05",
      "37A25",
      "37A30",
      "37A50",
      "37E05",
      "47A35",
      "47B65",
      "60F05",
      "60F17",
      "42B35",
      "42B35",
      "42C15"
    ],
    "keywords": [
      "atomic decomposition",
      "study transfer operators",
      "measure spaces",
      "besov spaces",
      "long list"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}