Toeplitz operators with quasi-homogeneuos quasi-radial symbols on some weakly pseudoconvex domains

DOI10.1007/s11785-014-0407-xzbMath1361.47007arXiv1406.3048OpenAlexW2024467079MaRDI QIDQ2350887

Armando Sánchez-Nungaray, Raul Quiroga-Barranco

Publication date: 25 June 2015

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

Full work available at URL: https://arxiv.org/abs/1406.3048

zbMATH Keywords

commutative Banach algebraBergman spaceToeplitz operatorLagrangian manifold

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Foliations (differential geometric aspects) (53C12) Bergman spaces of functions in several complex variables (32A36)

Related Items (7)

Toeplitz operators on the Fock space with quasi-radial symbols ⋮ Radial-like Toeplitz operators on Cartan domains of type I ⋮ Construction of some classes of commutative Banach and \(C^{\star}\)-algebras of Toeplitz operators ⋮ Toeplitz Operators with $$\mathbb {T}_q^m$$ -Invariant Symbols on Some Weakly Pseudoconvex Domains ⋮ Commuting and Semi-commuting Monomial-type Toeplitz Operators on Some Weakly Pseudoconvex Domains ⋮ Toeplitz operators, \(\mathbb{T}^m\)-invariance and quasi-homogeneous symbols ⋮ Ranks of commutators and generalized semicommutators of quasihomogeneous Toeplitz operators

Cites Work

• Commutative \(C^*\)-algebras of Toeplitz operators on complex projective spaces
• Quasi-radial quasi-homogeneous symbols and commutative Banach algebras of Toeplitz operators
• Commutative algebras of Toeplitz operators on the Reinhardt domains
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators
• Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. II: Geometry of the level sets of symbols
• Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk
• Spaces of Holomorphic Functions in the Unit Ball
• Toeplitz operators with quasi-radial quasi-homogeneous symbols and bundles of Lagrangian frames
• Riemannian geometry
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