Weighted composition operators from the weighted Bergman space to the weighted Hardy space on the unit ball |
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Authors: | Stevo Stevi? Sei-Ichiro Ueki |
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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 |
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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. |
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Keywords: | Weighted composition operators Bergman spaces Hardy spaces Essential norm |
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