Toeplitz operators and Hankel operators on the Hardy space of the unit sphere

DOI10.1006/jfan.1997.3110zbMath0909.47020OpenAlexW1970255345MaRDI QIDQ1370389

DeChao Zheng

Publication date: 28 March 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3110

zbMATH Keywords

compactnessHardy spacesToeplitz operatorsHankel operatorscompact perturbationsymbol from BMO

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (12)

Bounded functions of vanishing mean oscillation on compact metric spaces ⋮ Dual Toeplitz operators on the sphere ⋮ Products of Toeplitz and Hankel operators on Fock spaces ⋮ Big Hankel operators on Hardy spaces of strongly pseudoconvex domains ⋮ The first Szegö theorem for the Bergman-Toeplitz matrix ⋮ Boundedness and compactness of Hankel operators on the sphere ⋮ A weighted estimate for the square function on the unit ball in \(\mathbb C^n\) ⋮ On Ptak's Generalization of Hankel Operators ⋮ Properties of generalized Toeplitz operators ⋮ On the compactness of the product of Hankel operators on the sphere ⋮ Products of Hankel operators on the Fock space ⋮ On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball

Cites Work

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• Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection
• Factorization theorems for Hardy spaces in several variables
• A characterization of Douglas subalgebras
• Subalgebras of \(L^\infty\) containing \(H^\infty\)
• Toeplitz operators in several complex variables
• The distribution function inequality and products of Toeplitz operators and Hankel operators
• On the algebra generated by Toeplitz matrices
• \(H^p\) spaces of several variables
• On Completely Continuous Hankel Matrices
• On functions of bounded mean oscillation
• A generalized area integral estimate and applications
• The C ∗ -Algebra Generated by an Isometry. II
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Products of Toeplitz operators

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