{
  "id": "1910.02651",
  "version": "v1",
  "published": "2019-10-07T07:51:11.000Z",
  "updated": "2019-10-07T07:51:11.000Z",
  "title": "Generalized spaces of pointwise regularity: To a general framework for the WLM",
  "authors": [
    "Laurent Loosveldt",
    "Samuel Nicolay"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this work we generalize the spaces T^{p}_{u} introduced by Calder\\'on and Zygmund using a pointwise version of conditions defining the generalized Besov spaces and give conditions binding the functions belonging to these spaces and the wavelet coefficients of such functions. Next, we propose a multifractal formalism based on the new spaces wich generalize the so-called wavelet leaders method and show that it is satisfied on a prevalent set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-07T07:51:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40",
      "26A16",
      "28A78"
    ],
    "keywords": [
      "general framework",
      "generalized spaces",
      "pointwise regularity",
      "wavelet leaders method",
      "spaces wich"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}