{
  "id": "1903.10497",
  "version": "v1",
  "published": "2019-03-25T17:53:24.000Z",
  "updated": "2019-03-25T17:53:24.000Z",
  "title": "$L^p$ regularity of the Bergman Projection on domains covered by the polydisk",
  "authors": [
    "Liwei Chen",
    "Steven G. Krantz",
    "Yuan Yuan"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "If a bounded domain can be covered by the polydisk through a rational proper holomorphic map, then the Bergman projection is $L^p$-bounded for $p$ in a certain range depending on the ramified rational covering. This result can be applied to the symmetrized polydisk and to the Hartogs triangle with exponent $\\gamma$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-25T17:53:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32A25",
      "32A36"
    ],
    "keywords": [
      "bergman projection",
      "regularity",
      "rational proper holomorphic map",
      "hartogs triangle",
      "ramified rational"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}