{
  "id": "1301.5860",
  "version": "v1",
  "published": "2013-01-24T18:44:19.000Z",
  "updated": "2013-01-24T18:44:19.000Z",
  "title": "On the dimension of a certain measure in the plane",
  "authors": [
    "Murat Akman"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AP",
    "math.CV"
  ],
  "abstract": "We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane. Our work generalizes work of Lewis and coauthors when the measure is $p$ harmonic and also for $p=2$, the well known theorem of Makarov regarding the Hausdorff dimension of harmonic measure relative to a point in a simply connected domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-24T18:44:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "37F35"
    ],
    "keywords": [
      "simply connected domain",
      "hausdorff dimension",
      "partial differential equation",
      "work generalizes work",
      "positive weak solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5860A"
    }
  }
}