{
  "id": "1104.3960",
  "version": "v2",
  "published": "2011-04-20T07:36:40.000Z",
  "updated": "2011-04-25T09:05:40.000Z",
  "title": "Real-variable characterizations of Bergman spaces",
  "authors": [
    "Zeqian Chen",
    "Wei Ouyang"
  ],
  "comment": "17 pages. a minor change made. arXiv admin note: text overlap with arXiv:1005.2936",
  "journal": "Acta Analysis Functionalis Applicata 13 (2011), 246-259",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "In this paper, we give a survey of results obtained recently by the present authors on real-variable characterizations of Bergman spaces, which are closely related to maximal and area integral functions in terms of the Bergman metric. In particular, we give a new proof of those results concerning area integral characterizations through using the method of vector-valued Calder\\'{o}n-Zygmund operators to handle Bergman singular integral operators on the complex ball. The proofs involve some sharp estimates of the Bergman kernel function and Bergman metric.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-25T09:05:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E15",
      "32A36",
      "32A50"
    ],
    "keywords": [
      "bergman spaces",
      "real-variable characterizations",
      "handle bergman singular integral operators",
      "bergman metric",
      "results concerning area integral characterizations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3960C"
    }
  }
}