Analytic discs in the boundary and compactness of Hankel operators with essentially bounded symbols

DOI10.1016/j.jmaa.2006.10.015zbMath1118.32004OpenAlexW2013331669MaRDI QIDQ882039

Georg Schneider, Wolfgang Knirsch

Publication date: 23 May 2007

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.2006.10.015

zbMATH Keywords

Hankel operatorBergman projectionBergman spaces and Bergman kernelcanonical solution operator to \(\bar \partial\)

Mathematics Subject Classification ID

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

Related Items (1)

Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains

Cites Work

• On the extension of \(L^ 2\) holomorphic functions
• On the boundedness and compactness of operators of Hankel type
• \(BMO\) and Hankel operators on Bergman spaces
• Compact Hankel operators on the Bergman space
• Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
• The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces
• Trace ideal criteria for operators of Hankel type
• Continuity and Schatten--von Neumann \(p\)-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces
• Hilbert-Schmidt Hankel Operators on the Bergman Space
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Hankel operators with antiholomorphic symbols on the Fock space
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