Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2742

 Title: Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions Authors: Wolf, Elke Keywords: Weighted Composition OperatorsWeighted Banach SpacesHolomorphic FunctionsDifferentiation Issue Date: 2011 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 37, No 4, (2011), 341p-352p Abstract: Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D. Such maps induce a weighted composition operator followed by differentiation DCf, y acting between weighted Banach spaces of holomorphic functions. We characterize boundedness and compactness of such operators in terms of the involved weights as well as the functions f and y. Description: 2010 Mathematics Subject Classification: 47B33, 47B38. URI: http://hdl.handle.net/10525/2742 ISSN: 1310-6600 Appears in Collections: Volume 37, Number 4

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