|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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