{
  "id": "1307.4900",
  "version": "v1",
  "published": "2013-07-18T10:51:34.000Z",
  "updated": "2013-07-18T10:51:34.000Z",
  "title": "Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces",
  "authors": [
    "Jordi Pau",
    "Ruhan Zhao"
  ],
  "comment": "26 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "Let $\\mu$ be a nonnegative Borel measure on the unit disk of the complex plane. We characterize those measures $\\mu$ such that the general family of spaces of analytic functions, $F(p,q,s)$, which contain many classical function spaces, including the Bloch space, $BMOA$ and the $Q_s$ spaces, are embedded boundedly or compactly into the tent-type spaces $T^{\\infty}_{p,s}(\\mu)$. The results are applied to characterize boundedness and compactness of Riemann-Stieltjes operators and multiplication operators on $F(p,q,s)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-18T10:51:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H25",
      "47B38"
    ],
    "keywords": [
      "multiplication operators",
      "general family",
      "carleson measures",
      "riemann-stieltjes operators",
      "tent-type spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.4900P"
    }
  }
}