Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions

DOI10.1016/j.crma.2013.12.004zbMath1293.47030OpenAlexW2063816551MaRDI QIDQ2438577

Crispin Herrera Yañez, Ondrej Hutník, Egor A. Maksimenko

Publication date: 5 March 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.12.004

zbMATH Keywords

Toeplitz operatorweighted Bergman spacevery slowly oscillating functions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces and Fock spaces (30H20)

Related Items (14)

C*-algebra generated by horizontal Toeplitz operators on the Fock space ⋮ On Toeplitz operators on the pluriharmonic Bergman space on the Siegel domain ⋮ Translation-invariant operators in reproducing kernel Hilbert spaces ⋮ A note on \(C^\ast\)-algebra of Toeplitz operators with \(\mathcal{L}\)-invariant symbols ⋮ \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane ⋮ Integral representation of vertical operators on the Bergman space over the upper half-plane ⋮ Integral representation of angular operators on the Bergman space over the upper half-plane ⋮ Separately Radial Fock-Carleson Type Measures for Derivatives of Order k ⋮ Approximately invertible elements in non-unital normed algebras ⋮ Toeplitz operators acting on true-poly-Bergman type spaces of the two-dimensional Siegel domain: nilpotent symbols ⋮ Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences ⋮ Toeplitz localization operators: spectral functions density ⋮ Algebras of Toeplitz operator on the three-dimensional Siegel domain ⋮ Radial Toeplitz operators revisited: discretization of the vertical case

Cites Work

• Unnamed Item
• On Bergman-Toeplitz operators with commutative symbol algebras
• Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions
• Commutative algebras of Toeplitz operators on the Bergman space
• The eigenvalues of limits of radial Toeplitz operators
• Toeplitz operators on Poly-analytic spaces via time-scale analysis

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