{
  "id": "1504.02585",
  "version": "v1",
  "published": "2015-04-10T08:35:03.000Z",
  "updated": "2015-04-10T08:35:03.000Z",
  "title": "Approximation by Hölder functions in Besov and Triebel-Lizorkin spaces",
  "authors": [
    "Toni Heikkinen",
    "Heli Tuominen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we show that Besov and Triebel-Lizorkin functions can be approximated by a H\\\"older continuous function both in the Lusin sense and in norm. The results are proven in metric measure spaces for Haj{\\l}asz-Besov and Haj{\\l}asz-Triebel-Lizorkin functions defined by a pointwise inequality. We also prove new inequalities for medians, including a Poincar\\'e type inequality, which we use in the proof of the main result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-10T08:35:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "43A85"
    ],
    "keywords": [
      "triebel-lizorkin spaces",
      "hölder functions",
      "approximation",
      "poincare type inequality",
      "metric measure spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150402585H"
    }
  }
}