Compact composition operators between weighted Bergman spaces on convex domains in \(\mathbb{C}^n\)

DOI10.1007/BF01228104zbMath0916.47024OpenAlexW2080705538MaRDI QIDQ1264498

Peter R. Mercer

Publication date: 29 September 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01228104

zbMATH Keywords

boundednesscompactnessweighted Bergman spacecompact composition operatorno angular derivativesmoothly bounded strongly convex domain

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear operators on function spaces (general) (47B38)

Cites Work

• Spectra of some composition operators
• Extremal disks and composition operators on convex domains in \(\mathbb{C}^ n\)
• A Technique for Characterizing Carleson Measures on Bergman Spaces
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• On Compactness of Composition Operators in Hardy Spaces of Several Variables
• Composition Operators Between Hardy and Weighted Bergman Spaces on Convex Domains in C n
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