Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane

Stevo Stević, Ajay K. Sharma and S. D. Sharma

Abstract and Applied Analysis, 2011, vol. 2011, 1-10

Abstract:

Let 𠜓 be a holomorphic mapping on the upper half-plane Î + = { 𠑧 ∈ â„‚ ∶ ð ” ð ‘§ > 0 } and 𠜑 be a holomorphic self-map of Î + . 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 𠜓 , we also characterize the compactness of these operators.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:989625

DOI: 10.1155/2011/989625

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