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Weighted composition operators from the weighted Bergman space to the weighted Hardy space on the unit ball
Authors:Stevo Stevi?  Sei-Ichiro Ueki
Affiliation:a Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia
b Faculty of Engineering, Ibaraki University, Hitachi 316-8511, Japan
Abstract:
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.
Keywords:Weighted composition operators   Bergman spaces   Hardy spaces   Essential norm
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