{
  "id": "1701.09093",
  "version": "v1",
  "published": "2017-01-31T15:29:25.000Z",
  "updated": "2017-01-31T15:29:25.000Z",
  "title": "The star function for meromorphic functions of several complex variables",
  "authors": [
    "Faruk Abi-Khuzam",
    "Florian Bertrand",
    "Giuseppe Della Sala"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorphic functions admitting a harmonic star function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-31T15:29:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32A20",
      "32A22",
      "32A60",
      "32A30",
      "30D35"
    ],
    "keywords": [
      "complex variables",
      "harmonic star function",
      "baernstein star function",
      "main functionals",
      "upper half-plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}