{
  "id": "1903.06941",
  "version": "v1",
  "published": "2019-03-16T15:14:30.000Z",
  "updated": "2019-03-16T15:14:30.000Z",
  "title": "Classic and exotic Besov spaces induced by good grids",
  "authors": [
    "Daniel Smania"
  ],
  "comment": "33 pages, 1 figure",
  "categories": [
    "math.CA",
    "math.AP",
    "math.DS",
    "math.FA"
  ],
  "abstract": "In a previous work we introduced Besov spaces $\\mathcal{B}^s_{p,q}$ defined on a measure spaces with a good grid, with $p\\in [1,\\infty)$, $q\\in [1,\\infty]$ and $0< s< 1/p$. Here we show that classical Besov spaces on compact homogeneous spaces are examples of such Besov spaces. On the other hand we show that even Besov spaces defined by a good grid made of partitions by intervals may differ from a classical Besov space, giving birth to exotic Besov spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-16T15:14:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "30H25",
      "42B35",
      "42C15",
      "42C40"
    ],
    "keywords": [
      "exotic besov spaces",
      "classical besov space",
      "compact homogeneous spaces",
      "measure spaces",
      "partitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}