ABSTRACT Let be the upper half‐plane in the complex plane , and be the weighted Bergman space defined on . We characterize the boundedness, compactness, and order boundedness of the weighted differentiation composition operators between weighted Bergman spaces. We also characterize the order boundedness of the finite sums of weighted differentiation composition operators between these spaces.
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Zhijie Jiang
Stevo Stević
Mathematical Methods in the Applied Sciences
China Medical University
China Medical University Hospital
Sichuan University of Science and Engineering
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Jiang et al. (Mon,) studied this question.
www.synapsesocial.com/papers/69d894526c1944d70ce0544d — DOI: https://doi.org/10.1002/mma.70613