Algebras on the unit disk and Toeplitz operators on the Bergman space

DOI10.1007/BF01673626zbMath0964.47016MaRDI QIDQ5926418

Rahman M. Younis, DeChao Zheng

Publication date: 16 July 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

algebras of functions on the unit diskBergman spacebounded harmonic functionscommutators of Toeplitz operatorscompact semicommuatorsharmonic symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (3)

Toeplitz algebras on the disk ⋮ Properties of generalized Toeplitz operators ⋮ Commutator and semicommutator of two monomial-type Toeplitz operators on the unit polydisk

Cites Work

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• Analytic functions and logmodular Banach algebras
• Hankel operators and Toeplitz operators on the Bergman space
• A characterization of Douglas subalgebras
• Subalgebras of \(L^\infty\) containing \(H^\infty\)
• Bourgain algebras on \(M(H^ \infty)\)
• The structure of Banach algebras of bounded continuous functions on the open disk that contain \(H^ \infty\), the Hoffman algebra, and nontangential limits
• Essentially commuting Toeplitz operators.
• The Dunford-Pettis property for certain planar uniform algebras
• Bourgain algebras on the maximal ideal space of \(H^ \infty\)
• A distance formula for algebras on the disk
• Bounded analytic functions and Gleason parts
• Interpolations by bounded analytic functions and the corona problem
• An Interpolation Problem for Bounded Analytic Functions
• Approximating Continuous Functions by Holomorphic and Harmonic Functions
• Algebras on the Disk and Doubly Commuting Multiplication Operators
• Essentially Commuting Toeplitz Operators With Harmonic Symbols
• Subalgebras of C(M(H ∞ ))
• Blaschke Products of Sundberg-Wolff Type
• Thin Interpolating Sequences and Three Algebras of Bounded Functions
• Trivial Gleason parts and the topological stable rank of H infinity
• Toeplitz operators and Hankel operators
• Products of Toeplitz operators

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