The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces

DOI10.1007/BF01191818zbMath0903.47019MaRDI QIDQ1378091

Richard Rochberg, Song-Ying Li, Steven G. Krantz

Publication date: 13 December 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Hankel operatorsboundary geometrypseudoconvex domains of finite type in complex dimension twotrace ideals over Bergman spaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38)

Related Items (7)

Essential normality of Bergman modules over intersections of complex ellipsoids ⋮ Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids ⋮ Analytic discs in the boundary and compactness of Hankel operators with essentially bounded symbols ⋮ Schatten class Hankel and \(\overline{\partial}\)-Neumann operators on pseudoconvex domains in \(\mathbb {C}^{n}\) ⋮ An index theorem for quotients of Bergman spaces on egg domains ⋮ Hilbert-Schmidt Hankel operators over complete Reinhardt domains ⋮ \(p\)-summable commutators in Bergman spaces on egg domains

Cites Work

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• Schatten class Hankel operators on the Bergman space
• Hankel operators on planar domains
• Hankel operators between weighted Bergman spaces in the ball
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Hankel operator between weighted Bergman spaces
• BMO in the Bergman metric on bounded symmetric domains
• On the boundedness and compactness of operators of Hankel type
• Abstract, weighted, and multidimensional Adamjan-Arov-Krein theorems, and the singular numbers of Sarason commutants
• Mapping properties of the Bergman projection on convex domains of finite type
• A note on Hardy spaces and functions of bounded mean oscillation on domains in \(\mathbb{C}^ n\)
• Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains
• Estimates on the Bergman kernels of convex domains
• On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications
• Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\)
• Trace ideal criteria for operators of Hankel type
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Hankel Operators on Weighted Bergman Spaces
• Membership of Hankel Operators on the Ball in Unitary Ideals

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