Hankel operators on the Dirichlet space

DOI10.1016/j.jmaa.2008.11.028zbMath1160.31301OpenAlexW2092195093MaRDI QIDQ1018685

Lian Kuo Zhao

Publication date: 20 May 2009

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.2008.11.028

zbMATH Keywords

Hankel operatorcompactDirichlet spacecommutativity

Mathematics Subject Classification ID

Dirichlet forms (31C25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (6)

Commuting Toeplitz and Hankel operators on harmonic Dirichlet spaces ⋮ Sums of products of Toeplitz and Hankel operators on the Dirichlet space ⋮ Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces ⋮ Toeplitz and Hankel operators with \(L^{\infty ,1}\) symbols on Dirichlet space ⋮ Spectrum, asymptotic invertibility and Szegö type theorems of Dirichlet Toeplitz operators ⋮ On the properties of canonical solution operator to \({\bar{\partial }}\) restricted to Dirichlet space

Cites Work

• Unnamed Item
• Algebraic properties of Toeplitz operators on the Dirichlet space
• Hankel operators and Toeplitz operators on the Bergman space
• Fredholm properties of Toeplitz operators on Dirichlet spaces
• The conditions that the product of Hankel operators is also a Hankel operator
• When do Toeplitz and Hankel operators commute?
• Toeplitz and Hankel Operators on Bergman Spaces
• Compact operators via the Berezin transform

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