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Weighted Differentiation Composition Operators Between Weighted Bergman Spaces on the Upper Half-Plane
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DOI：10.1002/mma.70613.png)
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Abstract
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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.
Keywords:
boundedness
compactness
order boundedness
upper half-plane
weighted Bergman space
weighted differentiation composition operators
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