Generalized Hankel operators on the Fock space

DOI10.1002/mana.200810169zbMath1197.47045OpenAlexW1970357661WikidataQ58398795 ScholiaQ58398795MaRDI QIDQ3655602

Kristan Alexander Schneider, Georg Schneider

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1002/mana.200810169

zbMATH Keywords

Hankel operatorFock space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Related Items (5)

Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces ⋮ Positive Toeplitz operators between different doubling Fock spaces ⋮ Carleson measures and Toeplitz operators on doubling Fock spaces ⋮ Generalized Hankel operators on the Fock space II ⋮ Fredholm Toeplitz operators on doubling Fock spaces

Cites Work

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• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• The canonical solution operator to \(\overline{\partial}\) restricted to spaces of entire functions
• On the Schatten class membership of Hankel operators on the unit ball
• Continuity and Schatten--von Neumann \(p\)-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces
• The canonical solution operator to $\overline {\partial }$ restricted to Bergman spaces
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Generalized Hankel operators and the generalized solution operator to on the Fock space and on the Bergman space of the unit disc
• Spaces of Holomorphic Functions in the Unit Ball
• Hankel operators with antiholomorphic symbols on the Fock space

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