\(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane

DOI10.1007/s00020-015-2243-4zbMath1329.47078OpenAlexW654249882MaRDI QIDQ895751

Kevin Esmeral, Egor A. Maksimenko, Nikolai L. Vasilevski

Publication date: 4 December 2015

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

Full work available at URL: https://doi.org/10.1007/s00020-015-2243-4

zbMATH Keywords

Bergman spaceToeplitz operatorsangular symbolsvery slowly oscillating functions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (12)

Toeplitz operators defined by sesquilinear forms: Bergman space case ⋮ C*-algebra generated by horizontal Toeplitz operators on the Fock space ⋮ Commutative algebras of Toeplitz operators on the Bergman space revisited: spectral theorem approach ⋮ Translation-invariant operators in reproducing kernel Hilbert spaces ⋮ A note on \(C^\ast\)-algebra of Toeplitz operators with \(\mathcal{L}\)-invariant symbols ⋮ Products of Toeplitz operators with angular symbols ⋮ 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 ⋮ Toeplitz localization operators: spectral functions density

Cites Work

• General concept of quantization
• Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball
• Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences
• \(m\)-Berezin transform and compact operators
• Maximal Abelian von Neumann algebras and Toeplitz operators with separately radial symbols
• Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case
• Radial Toeplitz operators on the unit ball and slowly oscillating sequences
• Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
• Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions
• Commutative algebras of Toeplitz operators on the Bergman space
• Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk
• (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball
• The eigenvalues of limits of radial Toeplitz operators
• Approximation and then-Berezin transform of operators on the Bergman space
• The Berezin transform and radial operators
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
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