Toeplitz Operators on the Bergman Spaces with Pseudodifferential Defining Symbols

DOI10.1007/978-3-0348-0537-7_18zbMath1282.47042OpenAlexW77756230MaRDI QIDQ4915850

Armando Sánchez-Nungaray, Nikolai L. Vasilevski

Publication date: 12 April 2013

Published in: Operator Theory, Pseudo-Differential Equations, and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0537-7_18

zbMATH Keywords

Toeplitz operatorpseudodifferential operatorpoly-Bergman space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (47G10) Bergman spaces of functions in several complex variables (32A36) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

Toeplitz operators defined by sesquilinear forms: Bergman space case ⋮ Toeplitz operators with homogeneous symbols acting on the poly-Bergman spaces of the upper half-plane ⋮ Toeplitz Operators on the Harmonic Bergman Space with Pseudodifferential Defining Symbols ⋮ Toeplitz operators with vertical symbols acting on the poly-Bergman spaces of the upper half-plane ⋮ Toeplitz operators acting on true-poly-Bergman type spaces of the two-dimensional Siegel domain: nilpotent symbols ⋮ Toeplitz operators with homogeneous symbols on polyharmonic spaces ⋮ Toeplitz operators with horizontal symbols acting on the poly-Fock spaces ⋮ The polyanalytic reproducing kernels

Cites Work

• On the structure of Bergman and poly-Bergman spaces
• Commuting Toeplitz operators on the harmonic Bergman space
• Toeplitz operators in \(n\)-dimensions
• Commutative algebras of Toeplitz operators on the Bergman space
• \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients
• The 𝐶*-algebra generated by an isometry
• The C ∗ -Algebra Generated by an Isometry. II
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