{
  "id": "1012.2473",
  "version": "v2",
  "published": "2010-12-11T17:12:59.000Z",
  "updated": "2011-08-10T14:57:23.000Z",
  "title": "Some results concerning the $p$-Royden and $p$-harmonic boundaries of a graph of bounded degree",
  "authors": [
    "Michael Puls"
  ],
  "comment": "Fixed minor typos. No other changes to paper",
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "Let $p$ be a real number greater than one and let $\\Gamma$ be a connected graph of bounded degree. We show that the $p$-Royden boundary of $\\Gamma$ with the $p$-harmonic boundary removed is a $F_{\\sigma}$-set. We also characterize the $p$-harmonic boundary of $\\Gamma$ in terms of the intersection of the extreme points of a certain subset of one-sided infinite paths in $\\Gamma$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-10T14:57:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J50",
      "43A15",
      "31C45"
    ],
    "keywords": [
      "harmonic boundary",
      "bounded degree",
      "results concerning",
      "real number greater",
      "royden boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2473P"
    }
  }
}