Weighted composition operators from the weighted Bergman space to the weighted Hardy space on the unit ball

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摘要

We investigate the weighted composition operator from the weighted Bergman space into the weighted Hardy space on the unit ball. As a consequence of the investigation, we also give a characterization for the boundedness and compactness of the operator whose the target space is the Hardy space.

论文关键词:Weighted composition operators,Bergman spaces,Hardy spaces,Essential norm

论文评审过程:Available online 31 October 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.10.048