{
  "id": "1004.1152",
  "version": "v1",
  "published": "2010-04-07T18:48:12.000Z",
  "updated": "2010-04-07T18:48:12.000Z",
  "title": "Compact Hankel operators on generalized Bergman spaces of the polydisc",
  "authors": [
    "Trieu Le"
  ],
  "comment": "13 pages, to appear in Integral Equation and Operator Theory",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that for $f$ a continuous function on the closed polydisc $\\bar{\\mathbb{D}^n}$ with $n\\geq 2$, the Hankel operator $H_{f}$ is compact on the Bergman space of $\\mathbb{D}^n$ if and only if there is a decomposition $f=h+g$, where $h$ is in the ball algebra and $g$ vanishes on the boundary of the polydisc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-07T18:48:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35"
    ],
    "keywords": [
      "compact hankel operators",
      "generalized bergman spaces",
      "ball algebra",
      "continuous function",
      "decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.1152L"
    }
  }
}