{
  "id": "math/0412359",
  "version": "v2",
  "published": "2004-12-18T09:48:58.000Z",
  "updated": "2005-10-01T04:00:15.000Z",
  "title": "Zero (sub)sets for spaces of holomorphic functions and (sub)harmonic minorants",
  "authors": [
    "Bulat N. Khabibullin"
  ],
  "comment": "LaTex-2e, 42 pages",
  "categories": [
    "math.CV",
    "math.FA"
  ],
  "abstract": "We obtain various general conditions in terms of the balayage and Green's functions under which the sequence of points is the zero set for weighted spaces of holomorphic functions in a domain on the complex plane.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-10-01T04:00:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C15",
      "30D30",
      "30D50",
      "30H05",
      "31A05",
      "31A15"
    ],
    "keywords": [
      "holomorphic functions",
      "harmonic minorants",
      "general conditions",
      "greens functions",
      "zero set"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12359K"
    }
  }
}