The Berezin transform and radial operators on the Bergman space of the unit ball
DOI10.1007/s11785-011-0145-2zbMath1311.47038OpenAlexW2034466489MaRDI QIDQ371786
Wei-Li Chen, Xing-Tang Dong, Ze-Hua Zhou
Publication date: 10 October 2013
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-011-0145-2
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)
Related Items (3)
Cites Work
- Algebraic properties of Toeplitz operators with radial symbols on the Bergman space of the unit ball
- Mellin transform, monomial symbols, and commuting Toeplitz operators
- Bergman space structure, commutative algebras of Toeplitz operators, and hyperbolic geometry
- Trace ideal criteria for Toeplitz operators
- On the range of the Berezin transform
- On Toeplitz operators with quasihomogeneous symbols
- Products of Toeplitz operators on the harmonic Bergman space
- Compact Toeplitz operators on Bergman spaces
- Compact operators via the Berezin transform
- The Berezin transform and radial operators
- The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$
- A theorem of Brown-Halmos type for Bergman space Toeplitz operators
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