Norm of some operators from logarithmic Bloch-type spaces to weighted-type spaces

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摘要

Operator norm of weighted composition operators from the iterated logarithmic Bloch space Blogk,k∈N, or the logarithmic Bloch-type space Blogβ,β∈(0,1), to weighted-type spaces on the unit ball are calculated. It is also calculated norm of the product of differentiation and composition operators among these spaces on the unit disk.

论文关键词:Composition operator,Differentiation operator,Iterated logarithmic Bloch space,Weighted-type space,Operator norm

论文评审过程:Available online 7 June 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.04.073