A note on Schatten-class membership of Hankel operators with antiholomorphic symbols on generalized Fock-spaces

DOI10.1002/MANA.200710724zbMath1167.47025OpenAlexW1992523462MaRDI QIDQ3606004

Georg Schneider

Publication date: 25 February 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710724

zbMATH Keywords

Hankel operatorFock spaceSchatten-class

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (3)

Some spectral properties of the canonical solution operator to \(\overline{\partial}\) on weighted Fock spaces ⋮ Schatten class Hankel and \(\overline{\partial}\)-Neumann operators on pseudoconvex domains in \(\mathbb {C}^{n}\) ⋮ Generalized Hankel operators on the Fock space II

Cites Work

• Hankel operators on weighted Fock spaces
• Continuity and Schatten--von Neumann \(p\)-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces
• On a Hilbert space of analytic functions and an associated integral transform part I
• Hankel operators with antiholomorphic symbols on the Fock space

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