{
  "id": "1009.1801",
  "version": "v3",
  "published": "2010-09-09T15:01:54.000Z",
  "updated": "2012-02-17T16:20:14.000Z",
  "title": "Carleson Measures and Reproducing Kernel Thesis in Dirichlet-type spaces",
  "authors": [
    "Gerardo Chacòn",
    "Emmanuel Fricain",
    "Mahmood Shabankhah"
  ],
  "journal": "Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum 78, 1-2 (2012) 315-329",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "In this paper, using a generalization of a Richter and Sundberg representation theorem, we give a new characterization of Carleson measures for the Dirichlet-type space $\\mathcal D(\\mu)$ when $\\mu$ is a finite sum of point masses. A reproducing kernel thesis result is also established in this case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-02-17T16:20:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "carleson measures",
      "dirichlet-type space",
      "reproducing kernel thesis result",
      "sundberg representation theorem",
      "finite sum"
    ],
    "tags": [
      "dissertation",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.1801C"
    }
  }
}