{
  "id": "1109.2791",
  "version": "v1",
  "published": "2011-09-13T14:02:32.000Z",
  "updated": "2011-09-13T14:02:32.000Z",
  "title": "The Schwarz-Pick lemma of high order in several variables",
  "authors": [
    "Shaoyu Dai",
    "Huaihui Chen",
    "Yifei Pan"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "We prove a high order Schwarz-Pick lemma for mappings between unit balls in complex spaces in terms of the Bergman metric. From this lemma, Schwarz-Pick estimates for partial derivatives of arbitrary order of mappings are deduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-13T14:02:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high order schwarz-pick lemma",
      "arbitrary order",
      "partial derivatives",
      "unit balls",
      "schwarz-pick estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.2791D"
    }
  }
}