Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball

DOI10.1007/S00020-013-2101-1zbMath1338.47022OpenAlexW1978262313MaRDI QIDQ469589

Wolfram Bauer, Crispin Herrera Yañez, Nikolai L. Vasilevski

Publication date: 11 November 2014

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

Full work available at URL: https://doi.org/10.1007/s00020-013-2101-1

zbMATH Keywords

Bergman spaceToeplitz operatorslowly oscillating sequencesradial operatorweighted Hausdorff moment problem

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 (20)

Radial-like Toeplitz operators on Cartan domains of type I ⋮ Commutative Toeplitz algebras and their Gelfand theory: old and new results ⋮ On algebras generated by Toeplitz operators and their representations ⋮ Commutants of separately radial Toeplitz operators in several variables ⋮ (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball ⋮ Commutative algebras generated by Toeplitz operators on the unit sphere ⋮ \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane ⋮ Spectral theorem approach to commutative \(C^\ast\)-algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases ⋮ Separately Radial Fock-Carleson Type Measures for Derivatives of Order k ⋮ Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces ⋮ Toeplitz operators acting on true-poly-Bergman type spaces of the two-dimensional Siegel domain: nilpotent symbols ⋮ Radial operators on the weighted Bergman spaces over the polydisk ⋮ Toeplitz operators on the weighted Bergman space over the two-dimensional unit ball ⋮ Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences ⋮ Toeplitz operators, \(\mathbb{T}^m\)-invariance and quasi-homogeneous symbols ⋮ Toeplitz localization operators: spectral functions density ⋮ \(m\)-Berezin transform and approximation of operators on the Bergman space over bounded symmetric domains ⋮ Toeplitz operators in the Herglotz space ⋮ Radial operators on polyanalytic weighted Bergman spaces ⋮ Radial Toeplitz operators revisited: discretization of the vertical case

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