(m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball

DOI10.1007/978-3-319-06266-2_3zbMath1327.47024OpenAlexW2471137956MaRDI QIDQ2944069

Wolfram Bauer, Crispin Herrera Yañez, Nikolai L. Vasilevski

Publication date: 7 September 2015

Published in: Operator Theory in Harmonic and Non-commutative Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06266-2_3

zbMATH Keywords

Toeplitz operatorunit ballnorm approximation\((m, \lambda)\)-Berezin transform

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Moment problems and interpolation problems in the complex plane (30E05) Bergman spaces and Fock spaces (30H20)

Related Items

\((m, \lambda)\)-Berezin transform on the weighted Bergman spaces over the polydisk ⋮ Algebras of Toeplitz operators on the \(n\)-dimensional unit ball ⋮ \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane ⋮ Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball ⋮ Radial operators on the weighted Bergman spaces over the polydisk ⋮ \(m\)-Berezin transform and approximation of operators on the Bergman space over bounded symmetric domains ⋮ Radial Toeplitz operators revisited: discretization of the vertical case

Cites Work

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• Spaces of Holomorphic Functions in the Unit Ball