{ "id": "0707.1964", "version": "v1", "published": "2007-07-13T10:32:28.000Z", "updated": "2007-07-13T10:32:28.000Z", "title": "Weighted composition operators on weighted Bergman spaces of bounded symmetric domains", "authors": [ "Sanjay Kumar", "Kanwar Jatinder Singh" ], "comment": "11 pages", "categories": [ "math.FA", "math.OA" ], "abstract": "In this paper, we study the weighted compositon operators on weighted Bergman spaces of bounded symmetric domains. The necessary and sufficient conditions for a weighted composition operator $W_{\\phi,\\psi}$ to be bounded and compact are studied by using the Carleson measure techniques. In the last section, we study the Schatten p-class weighted composition operators.", "revisions": [ { "version": "v1", "updated": "2007-07-13T10:32:28.000Z" } ], "analyses": { "subjects": [ "47B33", "46E30", "47B07", "46B70" ], "keywords": [ "weighted bergman spaces", "bounded symmetric domains", "schatten p-class weighted composition operators", "carleson measure techniques", "compositon operators" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0707.1964K" } } }