Continuity and Schatten--von Neumann \(p\)-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces

DOI10.1016/j.jmaa.2005.06.080zbMath1103.47020OpenAlexW2031209282MaRDI QIDQ2492984

Wolfgang Knirsch, Georg Schneider

Publication date: 9 June 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.080

zbMATH Keywords

Hankel operatorBergman projectionBergman kernel(general) Fock spacesweightred Bergman spaces

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)

Related Items

Compact operators under Orlicz function ⋮ Analytic discs in the boundary and compactness of Hankel operators with essentially bounded symbols ⋮ Some spectral properties of the canonical solution operator to \(\overline{\partial}\) on weighted Fock spaces ⋮ Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators ⋮ Spectral properties of the canonical solution operator to \(\overline{\partial}\) ⋮ Inequalities for eigenvalues of compact operators in a Hilbert space ⋮ A note on Schatten-class membership of Hankel operators with antiholomorphic symbols on generalized Fock-spaces ⋮ Generalized Hankel operators on the Fock space II ⋮ Generalized Hankel operators on the Fock space ⋮ Hankel operators and the Stieltjes moment problem ⋮ Unnamed Item

Cites Work

• Hankel operator between weighted Bergman spaces
• Hankel and Toeplitz operators on the Fock space
• The canonical solution operator to \(\overline{\partial}\) restricted to spaces of entire functions
• Hankel operators on the weighted Bergman spaces with exponential type weights
• Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights
• The canonical solution operator to $\overline {\partial }$ restricted to Bergman spaces
• Hankel Operators on Weighted Bergman Spaces
• The canonical solution operator of $ {\bar \partial } $ on weighted spaces with holomorphic coefficients
• Stirling's Series Made Easy
• Non‐compactness of the solution operator to $ \bar \partial $ on the Fock‐space in several dimensions
• Compactness of the Canonical Solution Operator of on Bounded Pseudoconvex Domains
• Hankel operators with antiholomorphic symbols on the Fock space
• Hilbert-Schmidt Hankel operators on the Segal-Bargmann space
• Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space
• Unnamed Item

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