Composition operators on holomorphic Sobolev spaces in \(B_n\)

DOI10.1016/j.jmaa.2010.02.056zbMath1191.47031OpenAlexW2046193579MaRDI QIDQ982587

Hyungwoon Koo, Inyoung Park

Publication date: 7 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.056

zbMATH Keywords

boundednesscompactnesscomposition operatorunit ballholomorphic Sobolev space

Mathematics Subject Classification ID

Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

Composition operators on bounded convex domains in \(\mathbb C^n\) ⋮ Spectra of linear fractional composition operators onH²(B_N)

Cites Work

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• Composition operators on small spaces
• Composition operators induced by smooth self-maps of the unit ball in \(\mathbb C^{N}\)
• Composition operators on the polydisc induced by smooth symbols
• Composition operators induced by smooth self-maps of the real or complex unit balls
• The essential norm of a composition operator
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Compact Composition Operators on Spaces of Boundary-Regular Holomorphic Functions
• Boundary Regularity for Harmonic Hardy-Sobolev Spaces
• The Curious History of Faa di Bruno's Formula
• Unbounded Composition Operators on H 2 (B 2 )
• Composition operators acting on holomorphic Sobolev spaces

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