{
  "id": "2101.05227",
  "version": "v1",
  "published": "2021-01-13T17:40:50.000Z",
  "updated": "2021-01-13T17:40:50.000Z",
  "title": "Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc",
  "authors": [
    "A. R. Mirotin"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We introduce Hausdorff operators over the unit disc and give conditions for boundedness of such operator in Bloch, Bergman, and Hardy spaces on the disc. Identity approximation by Hausdorff operators is also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-13T17:40:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G10",
      "47B38",
      "46E30"
    ],
    "keywords": [
      "hausdorff operators",
      "unit disc",
      "holomorphic functions",
      "hardy spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}