Composition operators on the polydisc induced by smooth symbols

DOI10.1016/j.jfa.2008.03.003zbMath1147.47022OpenAlexW2042630216MaRDI QIDQ927643

Hyungwoon Koo, K. H. Zhu, Michael I. Stessin

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.03.003

zbMATH Keywords

Jacobianpolydisccomposition operatordistinguished boundary

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (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 (max. 100)

Joint Carleson measure for the difference of composition operators on the polydisks ⋮ Real symmetric, unitary, and complex symmetric weighted composition operators on Bergman spaces of polydisk ⋮ Composition operators on the polydisk induced by affine maps ⋮ Unnamed Item ⋮ 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 \(B_n\) ⋮ Composition operators induced by smooth self-maps of the real or complex unit balls ⋮ Composition operators on the polydisc

Cites Work

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• Composition operators induced by smooth self-maps of the unit ball in \(\mathbb C^{N}\)
• Carleson measure on the bi-disc
• Composition operators induced by symbols defined on a polydisk
• Interpolations by bounded analytic functions and the corona problem
• Carleson Measures in Hardy and Weighted Bergman Spaces of Polydiscs
• A Carleson Measure Theorem for Bergman Spaces

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