Algebraic properties of Toeplitz operators with radial symbols on the Bergman space of the unit ball

DOI10.1007/s00020-009-1677-yzbMath1195.47020OpenAlexW2023815537MaRDI QIDQ836050

Xing-Tang Dong, Ze-Hua Zhou

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1007/s00020-009-1677-y

zbMATH Keywords

Mellin transformBergman spaceToeplitz operatorradial symbolquasihomogeneous symbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36)

Related Items (18)

Commutators and semi-commutators of Toeplitz operators on the unit ball ⋮ QUASIHOMOGENEOUS TOEPLITZ OPERATORS WITH INTEGRABLE SYMBOLS ON THE HARMONIC BERGMAN SPACE ⋮ The Berezin transform and radial operators on the Bergman space of the unit ball ⋮ Commuting quasihomogeneous Toeplitz operators on the harmonic Bergman space ⋮ Toeplitz operators on the Dirichlet space of \(\mathbb B_n\) ⋮ On the structure of a commutative Banach algebra generated by Toeplitz operators with quasi-radial quasi-homogeneous symbols ⋮ Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space ⋮ Commuting and Semi-commuting Monomial-type Toeplitz Operators on Some Weakly Pseudoconvex Domains ⋮ Toeplitz operators on Dirichlet-type space of unit ball ⋮ Algebraic properties of Toeplitz operators on the polydisk ⋮ Products of Toeplitz operators on the harmonic Bergman space ⋮ Commutators and semi-commutators of Toeplitz operators on the Fock space ⋮ Toeplitz operators on weighted pluriharmonic Bergman space ⋮ Ranks of commutators and generalized semicommutators of quasihomogeneous Toeplitz operators ⋮ Toeplitz operators with quasihomogeneous symbols on the Bergman space of the unit ball ⋮ Algebraic properties of quasihomogeneous and separately quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space ⋮ Quasi-radial quasi-homogeneous symbols and commutative Banach algebras of Toeplitz operators ⋮ Commutator and semicommutator of two monomial-type Toeplitz operators on the unit polydisk

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