{
  "id": "1006.5000",
  "version": "v1",
  "published": "2010-06-25T14:01:02.000Z",
  "updated": "2010-06-25T14:01:02.000Z",
  "title": "Radial growth of harmonic functions in the unit ball",
  "authors": [
    "Kjersti Solberg Eikrem",
    "Eugenia Malinnikova"
  ],
  "journal": "Math. Scand., 110, no. 2, 273-296, 2012",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study harmonic functions which admit a certain majorant in the unit ball in $\\R^m $. We prove that when the majorant fulfills a doubling condition, the extremal growth or decay may occur only along small sets of radii, and we give precise estimates of these exceptional sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-25T14:01:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B25",
      "31B05"
    ],
    "keywords": [
      "unit ball",
      "radial growth",
      "study harmonic functions",
      "exceptional sets",
      "majorant fulfills"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.5000S"
    }
  }
}