{
  "id": "1903.06937",
  "version": "v1",
  "published": "2019-03-16T14:57:22.000Z",
  "updated": "2019-03-16T14:57:22.000Z",
  "title": "Besov-ish spaces through atomic decomposition",
  "authors": [
    "Daniel Smania"
  ],
  "comment": "55 pages, 3 figures",
  "categories": [
    "math.CA",
    "math.AP",
    "math.DS",
    "math.FA"
  ],
  "abstract": "We use the method of atomic decomposition to build new families of function spaces, similar to Besov spaces, in measure spaces with grids, a very mild assumption. Besov spaces with low regularity are considered in measure spaces with good grids, and results on multipliers and left compositions are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-16T14:57:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "30H25",
      "42B35",
      "42C15",
      "42C40"
    ],
    "keywords": [
      "atomic decomposition",
      "besov-ish spaces",
      "measure spaces",
      "besov spaces",
      "mild assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}