Authors: | Stević, Stevo Sharma, Ajay |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Iterated differentiation followed by composition from Bloch-type spaces to weighted BMOA spaces | Journal: | Applied Mathematics and Computation | Volume: | 218 | Issue: | 7 | First page: | 3574 | Last page: | 3580 | Issue Date: | 1-Dec-2011 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2011.08.103 | Abstract: | Let be a holomorphic self-map of the open unit disk D and H(D) the class of holomorphic functions on D. For n∈N0 define an operator by: CDnf=f(n),f∈H(D). We characterize the boundedness and compactness of operator CφDn from Bloch-type spaces to weighted BMOA spaces. |
Keywords: | Bloch-type space | Boundedness | Compactness | Composition operator | Differentiation operator | Weighted BMOA space | Publisher: | Elsevier | Project: | National Board of Higher Mathematics, India (Grant No. 48/4/2009/ R& D-II/426) |
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