{
  "id": "math/0503333",
  "version": "v1",
  "published": "2005-03-16T16:02:55.000Z",
  "updated": "2005-03-16T16:02:55.000Z",
  "title": "Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpet",
  "authors": [
    "Andrzej Stos"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove the Boundary Harnack Principle related to fractional powers of Laplacian for some natural regions in the two-dimensional Sierpinski carpet. This is a natual application of a probabilistic method based on the Ikeda-Watanabe formula",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-16T16:02:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J45",
      "60J35"
    ],
    "keywords": [
      "fractional powers",
      "two-dimensional sierpinski carpet",
      "ikeda-watanabe formula",
      "natural regions",
      "probabilistic method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3333S"
    }
  }
}