{
  "id": "2005.08909",
  "version": "v1",
  "published": "2020-05-18T17:30:55.000Z",
  "updated": "2020-05-18T17:30:55.000Z",
  "title": "An $H^p$ scale for complete Pick spaces",
  "authors": [
    "Alexandru Aleman",
    "Michael Hartz",
    "John E. McCarthy",
    "Stefan Richter"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We define by interpolation a scale analogous to the Hardy $H^p$ scale for complete Pick spaces, and establish some of the basic properties of the resulting spaces, which we call $\\mathcal{H}^p$. In particular, we obtain an $\\mathcal{H}^p-\\mathcal{H}^q$ duality and establish sharp pointwise estimates for functions in $\\mathcal{H}^p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-18T17:30:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22"
    ],
    "keywords": [
      "complete pick spaces",
      "establish sharp pointwise estimates",
      "basic properties",
      "interpolation",
      "resulting spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}