Norm of weighted composition operators from α-Bloch spaces to weighted-type spaces

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摘要

We calculate in an elegant way operator norm of the weighted composition operator from the α-Bloch space, with ⧹α∈(0,∞)⧹{1}, to a weighted-type space on the unit ball. This result can be regarded as a complement to our recent result regarding the same problem for the case α=1.

论文关键词:Weighted composition operator,α-Bloch space,Weighted-type space,Operator norm

论文评审过程:Available online 8 June 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.06.005