{
  "id": "1302.5295",
  "version": "v1",
  "published": "2013-02-21T14:42:42.000Z",
  "updated": "2013-02-21T14:42:42.000Z",
  "title": "Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension",
  "authors": [
    "Lizaveta Ihnatsyeva",
    "Antti V. Vähäkangas"
  ],
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "We prove inequalities of Hardy type for functions in Triebel-Lizorkin spaces $F^s_{pq}(G)$ on a domain $G\\subset\\mathbb{R}^n$, whose boundary has the Aikawa dimension strictly less than $n-sp$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-21T14:42:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "26D15"
    ],
    "keywords": [
      "triebel-lizorkin spaces",
      "hardy inequalities",
      "hardy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.5295I"
    }
  }
}