{
  "id": "2007.11217",
  "version": "v1",
  "published": "2020-07-22T06:03:23.000Z",
  "updated": "2020-07-22T06:03:23.000Z",
  "title": "Sub-Hardy Hilbert spaces and the Bergman kernel on the unit disk",
  "authors": [
    "Shuhei Kuwahara",
    "Michio Seto"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, two classes of bounded analytic functions defined by a certain positivity condition concerning the the Bergman kernel on the unit disk are introduced and studied. Then, analytic functions from the unit disk to an annulus appear naturally, and they characterize our classes. Moreover, we discuss the structure of sub-Hardy Hilbert spaces induced by those functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-22T06:03:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "47B32"
    ],
    "keywords": [
      "sub-hardy hilbert spaces",
      "unit disk",
      "bergman kernel",
      "bounded analytic functions",
      "annulus appear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}