Algebras on the Disk and Doubly Commuting Multiplication Operators
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Publication:3488013
DOI10.2307/2000934zbMath0706.46040OpenAlexW4254890106MaRDI QIDQ3488013
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2000934
little Bloch spaceinterpolating Blaschke productBergman space of the diskdoubly commuting multiplication operators
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Related Items (17)
The structure of Banach algebras of bounded continuous functions on the open disk that contain \(H^ \infty\), the Hoffman algebra, and nontangential limits ⋮ On algebras generated by Toeplitz operators and their representations ⋮ Semi-commutators of Toeplitz operators on the Bergman space ⋮ Hankel operators and Toeplitz operators on the Bergman space ⋮ Toeplitz and Hankel Operators on Bergman Spaces ⋮ Toeplitz operators on the weighted Bergman spaces of quotient domains ⋮ Toeplitz operators and Hankel operators ⋮ Duality and multiplication operators ⋮ A Remark on Bourgain Algebras on the Disk ⋮ Algebras on the unit disk and Toeplitz operators on the Bergman space ⋮ The pluriharmonic Toeplitz operators on the polydisk ⋮ Toeplitz operators on the polydisk ⋮ Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk ⋮ Approximating Continuous Functions by Holomorphic and Harmonic Functions ⋮ Mellin transform, monomial symbols, and commuting Toeplitz operators ⋮ Analytic functions of bounded mean oscillation and the Bloch space ⋮ Commuting Toeplitz operators with harmonic symbols
Cites Work
- The Bergman space, the Bloch space, and commutators of multiplication operators
- Hankel operators and Toeplitz operators on the Bergman space
- Spaces of type \(H^\infty+C\)
- Subalgebras of \(L^\infty\) containing \(H^\infty\)
- Bounded analytic functions and Gleason parts
- Interpolations by bounded analytic functions and the corona problem
- An Interpolation Problem for Bounded Analytic Functions
- Interpolating Sequences for QA B
- Thin Interpolating Sequences and Three Algebras of Bounded Functions
- Products of Toeplitz operators
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