Complex symmetric Toeplitz operators on the unit polydisk and the unit ball

DOI10.1007/S10473-020-0103-2zbMath1498.47069OpenAlexW2997071650MaRDI QIDQ2151085

Cao Jiang, Xing-Tang Dong, Ze-Hua Zhou

Publication date: 30 June 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0103-2

zbMATH Keywords

Bergman spaceToeplitz operatorcomplex symmetric operatorpluriharmonic Bergman space

Mathematics Subject Classification ID

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

Related Items (7)

Complex symmetric Toeplitz operators on the unit polydisk ⋮ Unbounded complex symmetric Toeplitz operators ⋮ Complex symmetry of Toeplitz operators over the bidisk ⋮ Unnamed Item ⋮ Complex symmetric monomial Toeplitz operators on the unit ball ⋮ Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space ⋮ Complex symmetry of Toeplitz operators on the weighted Bergman spaces

Cites Work

• Unnamed Item
• Positivity of Toeplitz operators on harmonic Bergman space
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• On complex symmetric Toeplitz operators
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• Complex symmetric operators and interpolation
• On the closure of the complex symmetric operators: compact operators and weighted shifts
• Commutator and semicommutator of two monomial-type Toeplitz operators on the unit polydisk
• Complex symmetric partial isometries
• Complex symmetry of weighted composition operators in several variables
• Some new classes of complex symmetric operators
• Complex symmetric operators and applications II
• Spaces of Holomorphic Functions in the Unit Ball
• Separately quasihomogeneous Toeplitz operators on the Bergman space of the polydisk
• A canonical decomposition of complex symmetric operators
• Complex symmetric operators and applications

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