Characterizations of Bergman space Toeplitz operators with harmonic symbols
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Publication:3524796
DOI10.1515/CRELLE.2008.024zbMath1153.47021OpenAlexW2019483699MaRDI QIDQ3524796
Anders Olofsson, Issam Louhichi
Publication date: 15 September 2008
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crelle.2008.024
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Dilations, extensions, compressions of linear operators (47A20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Related Items (6)
On some Bergman shift operators ⋮ On the commutativity of sums of Toeplitz operators on the Bergman space ⋮ Toeplitz operators with pluriharmonic symbol on the unit ball ⋮ Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs ⋮ Characterizations of dual truncated Toeplitz operators ⋮ Multi-Toeplitz operators and free pluriharmonic functions
Cites Work
- The harmonic functional calculus and hyperreflexivity.
- Commuting Toeplitz operators with harmonic symbols
- Subnormal operators with compact selfcommutator
- Compact operators on Bergman spaces
- On the range of the Berezin transform
- An operator-valued Berezin transform and the class of \(n\)-hypercontractions
- A characteristic operator function for the class of \(n\)-hypercontractions
- Operator-valued n-harmonic measure in the polydisc
- Theory of Reproducing Kernels
- A theorem of Brown-Halmos type for Bergman space Toeplitz operators
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