{
  "id": "1605.02700",
  "version": "v1",
  "published": "2016-05-09T19:12:30.000Z",
  "updated": "2016-05-09T19:12:30.000Z",
  "title": "Is the Dirichlet Space a Quotient of $DA_n$?",
  "authors": [
    "Richard Rochberg"
  ],
  "comment": "7 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that the Dirichlet space is not a quotient of the Drury-Arveson space on the n-ball for any finite n. The proof is based a quantitative comparison of the metrics induced by the Hilbert spaces",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-09T19:12:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22"
    ],
    "keywords": [
      "dirichlet space",
      "hilbert spaces",
      "drury-arveson space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}