| 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) |
Show full item record
SCOPUSTM
Citations
112
checked on Apr 22, 2024
Page view(s)
32
checked on Apr 23, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.