{
  "id": "1408.3072",
  "version": "v2",
  "published": "2014-08-13T18:10:01.000Z",
  "updated": "2014-08-21T22:27:52.000Z",
  "title": "Carleson embeddings and two operators on Bergman spaces of tube domains over symmetric cones",
  "authors": [
    "Cyrille Nana",
    "Benoit F. Sehba"
  ],
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Ces\\`aro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and Ces\\`aro-type operators on weighted Hilbert-Bergman spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-13T18:10:01.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-21T22:27:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "32M15"
    ],
    "keywords": [
      "tube domains",
      "symmetric cones",
      "carleson embeddings",
      "schatten class criteria",
      "toeplitz operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.3072N"
    }
  }
}