COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL

DOI10.1017/S1446788711001091zbMath1218.47040OpenAlexW1985758668MaRDI QIDQ3008165

Le Hai Khoi, Xiang-Dong Yang

Publication date: 14 June 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788711001091

zbMATH Keywords

compactnessdifferences of composition operatorsweighted Bergman spaces in the unit ball

Mathematics Subject Classification ID

Linear composition operators (47B33) Bergman spaces of functions in several complex variables (32A36)

Related Items (4)

Compact differences of composition operators on the Bergman spaces over the ball ⋮ Essential norm of difference of composition operators from weighted Bergman spaces to Bloch-type spaces ⋮ Joint Carleson measure and the difference of composition operators on \(A_\alpha^p(\mathbb{B}_n)\) ⋮ Composition operators on Hardy spaces of Riemann surfaces

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
• Composition operators induced by smooth self-maps of the real or complex unit balls
• Compact differences of composition operators
• Linear relations in the Calkin algebra for composition operators

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