Schatten class membership of Hankel operators on the unit sphere

DOI10.1016/j.jfa.2009.05.006zbMath1178.47019OpenAlexW2015847905MaRDI QIDQ1040572

Quanlei Fang, Jingbo Xia

Publication date: 25 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.05.006

zbMATH Keywords

Hankel operatorSchatten class membership

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) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (18)

Best approximations in a class of Lorentz ideals ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ Commutators and localization on the Drury-Arveson space ⋮ Geometric Arveson-Douglas conjecture for the Drury-Arveson space: the case of one-dimensional variety ⋮ Big Hankel operators on Hardy spaces of strongly pseudoconvex domains ⋮ Schatten classes and commutators of Riesz transform on Heisenberg group and applications ⋮ Fuglede commutations modulo Lorentz ideals ⋮ Bergman commutators and norm ideals ⋮ Essential normality of polynomial-generated submodules: Hardy space and beyond ⋮ A local inequality for Hankel operators on the sphere and its application ⋮ Hankel operators on weighted Bergman spaces and norm ideals ⋮ On Schatten-class perturbations of Toeplitz operators ⋮ On the membership of Hankel operators in a class of Lorentz ideals ⋮ Equivalence after extension and Schur coupling coincide for inessential operators ⋮ An integral formula for Schatten norm on the Hardy space: the only high-dimensional case ⋮ 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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• Boundedness and compactness of Hankel operators on the sphere
• Factorization theorems for Hardy spaces in several variables
• Schatten classes and commutators of singular integral operators
• Bounded functions of vanishing mean oscillation on compact metric spaces
• Singular Integral Operators and Essential Commutativity on the Sphere
• Hankel Operators on Weighted Bergman Spaces
• HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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