{
  "id": "1805.07573",
  "version": "v1",
  "published": "2018-05-19T11:44:29.000Z",
  "updated": "2018-05-19T11:44:29.000Z",
  "title": "Conditional Carleson measures and related operators on Bergman spaces",
  "authors": [
    "A. Aliyan",
    "Y. Estaremi",
    "A. Ebadian"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper first we define generalized Carleson mea- sure. Then we consider a special case of it, named conditional Carleson measure on the Bergman spaces. After that we give a characterization of conditional Carleson measures on Bergman spaces. Moreover, by using this characterization we find an equiv- alent condition to boundedness of weighted conditional expectation operators on Bergman spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-19T11:44:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bergman spaces",
      "related operators",
      "weighted conditional expectation operators",
      "named conditional carleson measure",
      "alent condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}