Compact operators and Toeplitz algebras on multiply-connected domains

DOI10.1016/J.JFA.2011.03.004zbMath1220.47146OpenAlexW2147324574MaRDI QIDQ537709

Mirjana Jovovic, DeChao Zheng

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.03.004

zbMATH Keywords

Bergman spaceToeplitz operatorBerezin transformcommutator ideal

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Bergman spaces and Fock spaces (30H20)

Related Items (3)

Compact operators with BMO symbols on multiply-connected domains ⋮ Multiplication operator with BMO symbols and Berezin transform ⋮ Hankel operators on Bergman spaces of annulus induced by regular weights

Cites Work

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• Toeplitz algebras on the disk
• Hankel operators on planar domains
• Density of algebras generated by Toeplitz operators on Bergman spaces
• Hilbert-Schmidt Hankel operators on the Bergman space of planar domains
• Localization of the corona problem
• Compact operators via the Berezin transform
• Compact operators on the Bergman space of multiply-connected domains
• The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$

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