Generalized weighted composition operators from the F(p, q, s) space to the Bloch-type space

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Let H(D) denote the space of all analytic functions on the open unit disk D of C. Let φ be an analytic self-map of D and u∈H(D). In this paper, the boundedness and compactness of the generalized weighted composition operatorDφ,unf=uf(n)∘φfrom the F(p, q, s) space to the Bloch-type space and the little Bloch-type space are characterized.

论文关键词:Generalized weighted composition operator,F(p, q, s) space,Bloch-type space,Weighted differentiation composition operator

论文评审过程:Available online 20 November 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.10.062