Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences

DOI10.1007/s11785-016-0557-0zbMath1370.47032arXiv1505.07906OpenAlexW386512660MaRDI QIDQ504582

Kevin Esmeral, Egor A. Maksimenko

Publication date: 17 January 2017

Published in: Communications in Mathematical Analysis, Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07906

zbMATH Keywords

Bergman spaceToeplitz operatorsFock spaceslowly oscillating sequenceslowly oscillating functionradial Toeplitz operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Bergman spaces and Fock spaces (30H20)

Related Items (17)

Toeplitz operators on the Fock space with quasi-radial symbols ⋮ Radial-like Toeplitz operators on Cartan domains of type I ⋮ Commutative Toeplitz algebras and their Gelfand theory: old and new results ⋮ C*-algebra generated by horizontal Toeplitz operators on the Fock space ⋮ Toeplitz operators with isotropic invariant symbols on the Fock space ⋮ Products of Toeplitz operators with angular symbols ⋮ \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane ⋮ Isometries, direct sum decompositions, analytic type function spaces, and radial operators ⋮ 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 ⋮ Toeplitz Algebras on the Harmonic Fock Space ⋮ Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces ⋮ Approximately invertible elements in non-unital normed algebras ⋮ Banach algebras generated by Toeplitz operators with parabolic quasi-radial quasi-homogeneous symbols ⋮ 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 operators, \(\mathbb{T}^m\)-invariance and quasi-homogeneous symbols

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Commuting Toeplitz operators with quasi-homogeneous symbols on the Segal-Bargmann space
• Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space
• Radial Toeplitz operators revisited: discretization of the vertical case
• Toeplitz operators on the Fock space
• Deformation estimates for the Berezin-Toeplitz quantization
• Dynamics of properties of Toeplitz operators with radial symbols
• Toeplitz operators on the Fock space: Radial component effects.
• Radial Toeplitz operators on the unit ball and slowly oscillating sequences
• Toeplitz operators and group representations
• Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
• Commutative algebras of Toeplitz operators on the Bergman space
• Analysis on Fock Spaces
• On Toeplitz operators and localization operators
• Toeplitz Operators on the Segal-Bargmann Space
• On a Hilbert space of analytic functions and an associated integral transform part I
• The eigenvalues of limits of radial Toeplitz operators
• Harmonic Analysis in Phase Space. (AM-122)
• The Berezin transform and radial operators
• Toeplitz operators and quantum mechanics

This page was built for publication: Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences