{
  "id": "2301.06370",
  "version": "v1",
  "published": "2023-01-16T11:35:42.000Z",
  "updated": "2023-01-16T11:35:42.000Z",
  "title": "On embedding of Besov spaces of zero smoothness into Lorentz spaces",
  "authors": [
    "Dmitriy Stolyarov"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We show that the zero smoothness Besov space $B_{p,q}^{0,1}$ does not embed into the Lorentz space $L_{p,q}$ unless $p=q$; here $p,q\\in (1,\\infty)$. This answers negatively a question proposed by O. V. Besov.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-16T11:35:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lorentz space",
      "zero smoothness besov space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}