{
  "id": "2005.02101",
  "version": "v1",
  "published": "2020-05-05T12:32:44.000Z",
  "updated": "2020-05-05T12:32:44.000Z",
  "title": "Koebe and Caratheódory type boundary behavior results for harmonic mappings",
  "authors": [
    "Daoud Bshouty",
    "Jiaolong Chen",
    "Stavros Evdoridis",
    "Antti Rasila"
  ],
  "comment": "13 pages, 1 figure",
  "categories": [
    "math.CV"
  ],
  "abstract": "We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-05T12:32:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C55",
      "31A05",
      "30C62"
    ],
    "keywords": [
      "caratheódory type boundary behavior results",
      "harmonic mapping",
      "boundary function",
      "boundary behavior theorem",
      "local points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}