{
  "id": "1308.3933",
  "version": "v2",
  "published": "2013-08-19T06:57:16.000Z",
  "updated": "2015-02-26T09:31:40.000Z",
  "title": "A characterization of BMO self-maps of a metric measure space",
  "authors": [
    "Juha Kinnunen",
    "Riikka Korte",
    "Niko Marola",
    "Nageswari Shanmugalingam"
  ],
  "comment": "to appear in Collectanea Mathematica",
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper studies functions of bounded mean oscillation (BMO) on metric spaces equipped with a doubling measure. The main result gives characterizations for mappings that preserve BMO. This extends the corresponding Euclidean results by Gotoh to metric measure spaces. The argument is based on a generalizations Uchiyama's construction of certain extremal BMO-functions and John-Nirenberg's lemma.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-19T06:57:16.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-02-26T09:31:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric measure space",
      "bmo self-maps",
      "characterization",
      "paper studies functions",
      "generalizations uchiyamas construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.3933K"
    }
  }
}