Essential normality of linear fractional composition operators in the unit ball of \(\mathbb C^N\)

DOI10.1007/s11425-009-0055-1zbMath1202.47028OpenAlexW2126095202MaRDI QIDQ983672

Liangying Jiang, Caiheng Ouyang

Publication date: 24 July 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0055-1

zbMATH Keywords

Hardy spacesweighted Bergman spacescomposition operatorsessential normality

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Linear composition operators (47B33) Bergman spaces of functions in several complex variables (32A36)

Related Items (2)

Commutators of composition operators with adjoints of composition operators on weighted Bergman spaces ⋮ Unnamed Item

Cites Work

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• Linear fractional maps of the unit ball: A geometric study
• Iterates of holomorphic self-maps of the unit ball in \(C^ n\)
• Linear-fractional composition operators in several variables
• Classification of semigroups of linear fractional maps in the unit ball
• A class of linear fractional maps of the ball and their composition operators
• Norms and spectral radii of linear fractional composition operators on the ball
• Linear fractional composition operators on \(H^ 2\)
• Composition operators and classical function theory
• Which linear-fractional composition operators are essentially normal?
• Cyclic phenomena for composition operators
• Selfcommutators of automorphic composition operators

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