{
  "id": "1012.3545",
  "version": "v1",
  "published": "2010-12-16T09:56:21.000Z",
  "updated": "2010-12-16T09:56:21.000Z",
  "title": "Differentiability of functions in the Zygmund class",
  "authors": [
    "Juan Jesus Donaire",
    "Jose G. Llorente",
    "Artur Nicolau"
  ],
  "doi": "10.1112/plms/pdt016",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove that the Hausdorff dimension of the set of points where a function in the Zygmund class in the euclidean space has bounded divided differences, is bigger or equal to 1. A similar result for functions in the Small Zygmund class is also proved and an example is constructed to show that these results are sharp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-16T09:56:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differentiability",
      "small zygmund class",
      "hausdorff dimension",
      "similar result",
      "euclidean space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3545D"
    }
  }
}