Bergman commutators and norm ideals

DOI10.1016/j.jfa.2012.05.012zbMath1263.47044OpenAlexW2014778107MaRDI QIDQ444888

Jingbo Xia

Publication date: 24 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.05.012

zbMATH Keywords

Bergman projectioncommutatornorm ideal

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Commutators, derivations, elementary operators, etc. (47B47) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bergman spaces of functions in several complex variables (32A36)

Related Items (8)

Best approximations in a class of Lorentz ideals ⋮ The Berger-Coburn phenomenon for Hankel operators on the Fock space ⋮ A local inequality for Hankel operators on the sphere and its application ⋮ Hankel operators on weighted Bergman spaces and norm ideals ⋮ On the essential commutant of the Toeplitz algebra on the Bergman space ⋮ On the membership of Hankel operators in a class of Lorentz ideals ⋮ Toeplitz operators associated with measures and the Dixmier trace on the Hardy space ⋮ \(p\)-summable commutators in Bergman spaces on egg domains

Cites Work

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• Commutators and localization on the Drury-Arveson space
• Hankel operators, the Segal-Bargmann space, and symmetrically-normed ideals
• Schatten class membership of Hankel operators on the unit sphere
• BMO in the Bergman metric on bounded symmetric domains
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Factorization theorems for Hardy spaces in several variables
• Hankel operators on the Bergman spaces of strongly pseudoconvex domains
• Schatten classes and commutators of singular integral operators
• On the Schatten class membership of Hankel operators on the unit ball
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Hankel Operators on Weighted Bergman Spaces
• On certain quotient modules of the Bergman module
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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