| Authors: | Stević, Stevo Sharma, Ajay Bhat, Ambika |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Products of multiplication composition and differentiation operators on weighted Bergman spaces | Journal: | Applied Mathematics and Computation | Volume: | 217 | Issue: | 20 | First page: | 8115 | Last page: | 8125 | Issue Date: | 15-Jun-2011 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2011.03.014 | Abstract: | Let ψ be a holomorphic function on the open unit disk D and ∂ a holomorphic self-map of D. Let C∂, Mψ and D denote the composition, multiplication and differentiation operator, respectively. We consider linear operators induced by products of these operators on weighted Bergman spaces on D. The boundedness is established by using Carleson-type measures. |
Keywords: | Boundedness | Composition operator | Differentiation operator | Multiplication operator | Publisher: | Elsevier | Project: | National Board of Higher Mathematics, India (Grant No. 48/4/2009/R&D-II/426) |
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