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, issue 1

Abstract: Let ψ be a holomorphic mapping on the upper half‐plane Π+ = {z ∈ ℂ : 𝔍z > 0} and φ be a holomorphic self‐map of Π+. 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 ψ, we also characterize the compactness of these operators.

Date: 2011
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https://doi.org/10.1155/2011/989625

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:989625

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