Toeplitz operators with distributional symbols on Bergman spaces

DOI10.1017/S001309151000026XzbMath1233.47025OpenAlexW2163439274MaRDI QIDQ3006330

Antti Perälä, Jari Taskinen, Jani A. Virtanen

Publication date: 10 June 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309151000026x

zbMATH Keywords

distributionBergman spaceToeplitz operatorcompact operatorbounded operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Boundedness of Toeplitz Operators in Bergman-Type Spaces ⋮ Toeplitz operators defined by sesquilinear forms: Bergman space case ⋮ Weak \(\mathrm{BMO}\) and Toeplitz operators on Bergman spaces ⋮ On generalized Toeplitz and little Hankel operators on Bergman spaces ⋮ On the boundedness of Toeplitz operators with radial symbols over weighted sup-norm spaces of holomorphic functions ⋮ Trace class Toeplitz operators with singular symbols ⋮ Toeplitz operators with distributional symbols on Fock spaces ⋮ On boundedness and compactness of Toeplitz operators in weighted \(H^\infty\)-spaces

Cites Work

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• Toeplitz operators with BMO symbols and the Berezin transform
• Commutative algebras of Toeplitz operators on the Bergman space
• Compact operators via the Berezin transform
• The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$