Generalized weighted composition operators from Zygmund spaces to Bloch–Orlicz type spaces

Hong-bin Bai and Zhi-jie Jiang

Applied Mathematics and Computation, 2016, vol. 273, issue C, 89-97

Abstract: Let D be the open unit disk in the complex plane C and H(D) the class of all analytic functions on D. Let φ be an analytic self-map of D and ψ∈H(D). In this paper the boundedness and compactness of the generalized weighted composition operator Dφ,ψnf=ψf(n)∘φ from the Zygmund space to the Bloch–Orlicz space and the little Bloch–Orlicz space are characterized.

Keywords: Zygmund space; Bloch–Orlicz space; Little Bloch–Orlicz space; Generalized weighted composition operator; Boundedness; Compactness (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:89-97

DOI: 10.1016/j.amc.2015.09.055

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