{
  "id": "math/0106078",
  "version": "v1",
  "published": "2001-06-11T12:23:34.000Z",
  "updated": "2001-06-11T12:23:34.000Z",
  "title": "Characterization of harmonic and subharmonic functions via mean-value properties",
  "authors": [
    "Pedro Freitas",
    "Joao Palhoto Matos"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We give a characterization of harmonic and subharmonic functions in terms of their mean values in balls and on spheres. This includes the converse of an inequality of Beardon's for subharmonic functions. We also obtain integral inequalities of Harnack type between these two means in general domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-11T12:23:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B05"
    ],
    "keywords": [
      "subharmonic functions",
      "mean-value properties",
      "characterization",
      "mean values",
      "general domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6078F"
    }
  }
}