{
  "id": "1910.03920",
  "version": "v1",
  "published": "2019-10-09T12:09:09.000Z",
  "updated": "2019-10-09T12:09:09.000Z",
  "title": "Triebel-Lizorkin capacity and Hausdorff measure in metric spaces",
  "authors": [
    "Nijjwal Karak"
  ],
  "comment": "to appear in Math. Slovaca",
  "categories": [
    "math.FA"
  ],
  "abstract": "We provide a upper bound for Triebel-Lizorkin capacity in metric settings in terms of Hausdorff measure. On the other hand, we also prove that the sets with zero capacity have generalized Hausdorff $h$-measure zero for a suitable gauge function $h.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-09T12:09:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hausdorff measure",
      "triebel-lizorkin capacity",
      "metric spaces",
      "metric settings",
      "zero capacity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}