Composition operators on the polydisk induced by affine maps

DOI10.1016/j.jfa.2010.12.019zbMath1223.47026OpenAlexW2052432819MaRDI QIDQ630796

Frederic Bayart

Publication date: 21 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.12.019

zbMATH Keywords

Bergman spacesHardy spacesCarleson measurescomposition operatorspolydisk

Mathematics Subject Classification ID

Linear composition operators (47B33) Functional analysis techniques applied to functions of several complex variables (32A70)

Related Items (6)

Pluricapacity and approximation numbers of composition operators ⋮ Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk ⋮ Composition operators on the Hardy–Hilbert space 𝐻² and model spaces 𝐾_{Θ} ⋮ Estimate for norm of a composition operator on the Hardy-Dirichlet space ⋮ Composition operators and embedding theorems for some function spaces of Dirichlet series ⋮ Composition operators on the polydisc

Cites Work

• Unnamed Item
• Composition operators induced by smooth self-maps of the unit ball in \(\mathbb C^{N}\)
• Composition operators on the polydisc induced by smooth symbols
• The Julia-Wolff-Carathéodory theorem in polydisks
• Carleson measure on the bi-disc
• Composition operators and classical function theory
• On Boundedness of Composition Operators on H 2 (B 2 )
• On Bounded and Compact Composition Operators in Polydiscs
• Carleson Measures in Hardy and Weighted Bergman Spaces of Polydiscs
• SPECTRA OF AUTOMORPHISM-INDUCED COMPOSITION OPERATORS ON H^p (B_N )

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