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**Weighted composition operators from weighted Bergman spaces to weighted-type spaces on the upper half-plane.**
*(English)*
Zbl 1221.47047

Summary: Let \(\psi\) be a holomorphic mapping on the upper half-plane \(\Pi^+ = \{ z \in \mathbb C : \mathfrak I z > 0\}\) and \(\varphi\) be a holomorphic self-map of \(\Pi^+\). We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane. Under a mild condition on \(\psi\), we also characterize the compactness of these operators.

### MSC:

47B33 | Linear composition operators |

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\textit{S. Stević} et al., Abstr. Appl. Anal. 2011, Article ID 989625, 10 p. (2011; Zbl 1221.47047)

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### References:

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