{
  "id": "2005.05667",
  "version": "v1",
  "published": "2020-05-12T10:22:25.000Z",
  "updated": "2020-05-12T10:22:25.000Z",
  "title": "QCH mappings between unit ball and domain with $C^{1,α}$ boundary",
  "authors": [
    "Anton Gjokaj",
    "David Kalaj"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the following. If $f$ is a harmonic quasiconformal mapping between the unit ball in $\\mathbb{R}^n$ and a spatial domain with $C^{1,\\alpha}$ boundary, then $f$ is Lipschitz continuous in $B$. This generalizes some known results for $n=2$ and improves some others in higher dimensional case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-12T10:22:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unit ball",
      "qch mappings",
      "higher dimensional case",
      "spatial domain",
      "generalizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}