{
  "id": "0708.2583",
  "version": "v1",
  "published": "2007-08-20T04:16:01.000Z",
  "updated": "2007-08-20T04:16:01.000Z",
  "title": "Boundary Harnack Principle for Subordinate Brownian Motions",
  "authors": [
    "Panki Kim",
    "Renming Song",
    "Zoran Vondracek"
  ],
  "comment": "34 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish a boundary Harnack principle for a large class of subordinate Brownian motion, including mixtures of symmetric stable processes, in bounded $\\kappa$-fat open set (disconnected analogue of John domains). As an application of the boundary Harnack principle, we identify the Martin boundary and the minimal Martin boundary of bounded $\\kappa$-fat open sets with respect to these processes with their Euclidean boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-20T04:16:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J45",
      "60J25",
      "60J51"
    ],
    "keywords": [
      "boundary harnack principle",
      "subordinate brownian motion",
      "fat open set",
      "minimal martin boundary",
      "symmetric stable processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2583K"
    }
  }
}