Composition operators induced by smooth self-maps of the real or complex unit balls

DOI10.1016/j.jfa.2008.11.002zbMath1170.47012OpenAlexW2038647429MaRDI QIDQ1019680

Hyungwoon Koo, Maofa Wang

Publication date: 4 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.11.002

zbMATH Keywords

boundednessweighted Bergman spacescomposition operatorsCarleson measuresmooth mappings

Mathematics Subject Classification ID

Linear composition operators (47B33) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (6)

Joint Carleson measure for the difference of composition operators on the polydisks ⋮ Composition operators on the Bergman space with quasiconformal symbols ⋮ The compactness of a class of radial operators on weighted Bergman spaces ⋮ Composition operators on distinct Bergman spaces over planar domains ⋮ COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL ⋮ Composition operators on holomorphic Sobolev spaces in \(B_n\)

Cites Work

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• Composition operators induced by smooth self-maps of the unit ball in \(\mathbb C^{N}\)
• On geometric properties of smooth maps that preserve \(H^2(\mathbb B_n)\)
• Composition operators on the polydisc induced by smooth symbols
• Carleson type conditions and weighted inequalities for harmonic functions.
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Unbounded Composition Operators on H 2 (B 2 )
• Composition Operators Between Hardy and Weighted Bergman Spaces on Convex Domains in C n

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