Espace de Dixmier des opérateurs de Hankel sur les espaces de Bergman à poids

DOI10.1007/S10587-015-0185-2zbMath1363.47053arXiv1404.0657OpenAlexW2099578903MaRDI QIDQ2947998

Romaric Tytgat

Publication date: 29 September 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0657

zbMATH Keywords

Bergman spaceHankel operatorDixmier trace

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

On singular values of Hankel operators on Bergman spaces ⋮ Hankel operators and the Dixmier trace on the Hardy space

Cites Work

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• Analytic Besov spaces
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• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• The local index formula in noncommutative geometry
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• Schatten class Toeplitz operators on weighted Bergman spaces of the unit ball
• Dixmier class of Hankel operators
• Toeplitz and Hankel operators and Dixmier traces on the unit ball of $\mathbb C^n$
• Hankel Operators on Weighted Bergman Spaces
• Hankel operators in the Dixmier class
• Spaces of Holomorphic Functions in the Unit Ball

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