{
  "id": "1506.03748",
  "version": "v1",
  "published": "2015-06-11T17:27:10.000Z",
  "updated": "2015-06-11T17:27:10.000Z",
  "title": "Hardy spaces of holomorphic functions for domains in $\\mathbb C^n$ with minimal smoothness",
  "authors": [
    "Loredana Lanzani",
    "Elias M. Stein"
  ],
  "comment": "22 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "We prove various representations and density results for Hardy spaces of holomorphic functions for two classes of bounded domains in $\\mathbb C^n$, whose boundaries satisfy minimal regularity conditions (namely the classes $C^2$ and $C^{1,1}$ respectively) together with naturally occurring notions of convexity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-11T17:27:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E20",
      "31A10",
      "32A26",
      "32A25",
      "32A50",
      "32A55",
      "42B20",
      "46E22",
      "47B34",
      "31B10"
    ],
    "keywords": [
      "holomorphic functions",
      "hardy spaces",
      "minimal smoothness",
      "boundaries satisfy minimal regularity conditions",
      "density results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603748L"
    }
  }
}