{
  "id": "1209.5840",
  "version": "v1",
  "published": "2012-09-26T06:26:22.000Z",
  "updated": "2012-09-26T06:26:22.000Z",
  "title": "Hardy inequalities in Triebel-Lizorkin spaces",
  "authors": [
    "Lizaveta Ihnatsyeva",
    "Antti V. Vähäkangas"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove an inequality of Hardy type for functions in Triebel-Lizorkin spaces. The distance involved is being measured to a given Ahlfors d-regular set in R^n, with n-1<d<n. As an application of the Hardy inequality, we consider boundedness of pointwise multiplication operators, and extension problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-26T06:26:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "triebel-lizorkin spaces",
      "hardy inequality",
      "ahlfors d-regular set",
      "pointwise multiplication operators",
      "hardy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.5840I"
    }
  }
}