On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces

Zhi-jie Jiang

Applied Mathematics and Computation, 2015, vol. 256, issue C, 37-51

Abstract: Let D={z∈C:|z|<1} be the open unit disk, φ an analytic self-map of D and ψ an analytic function on D. Let D be the differentiation operator and Wφ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator DWφ,ψ from the weighted Bergman–Orlicz space to the Bers type space, weighted Bloch space and weighted Zygmund space on D are characterized.

Keywords: Weighted Bergman–Orlicz spaces; Product-type operators; Weighted Zygmund spaces; Weighted Bloch spaces; Boundedness; Compactness (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:37-51

DOI: 10.1016/j.amc.2015.01.025

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