Some differential and integral equations with applications to Toeplitz operators

DOI10.1007/BF01193672zbMath1023.45005OpenAlexW2077336305MaRDI QIDQ1865905

Young Joo Lee, K. H. Zhu

Publication date: 4 November 2003

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

Full work available at URL: https://doi.org/10.1007/bf01193672

zbMATH Keywords

differential equationToeplitz operatorssystem of integral equationspluriharmonic Bergman space holomorphic symbolszero semi-commutators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Systems of nonsingular linear integral equations (45F05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Holomorphic functions of several complex variables (32A10)

Related Items (17)

Algebraic properties of small Hankel operators on the harmonic Bergman space ⋮ Commuting dual Toeplitz operators on the harmonic Dirichlet space ⋮ Commuting dual Toeplitz operators on the harmonic Bergman space ⋮ The pluriharmonic Hardy space and Toeplitz operators ⋮ Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space ⋮ Toeplitz operators on the weighted pluriharmonic Bergman space with radial symbols ⋮ Finite sums of dual Toeplitz products ⋮ Toeplitz operators on weighted pluriharmonic Bergman space ⋮ Toeplitz operators on the Dirichlet space ⋮ Ranks of complex skew symmetric operators and applications to Toeplitz operators ⋮ Properties of commutativity of dual Toeplitz operators on the orthogonal complement of pluriharmonic Dirichlet space over the ball ⋮ Commuting Toeplitz Operators on the Pluriharmonic Bergman Space ⋮ Algebraic properties of Toeplitz operators on the Dirichlet space ⋮ Commuting and semi-commuting Toeplitz operators on the weighted harmonic Bergman space ⋮ Commuting Toeplitz operators on the Hardy space of the polydisk ⋮ Commuting Toeplitz operators on the polydisk ⋮ The numerical range of Toeplitz operator on the polydisk

Cites Work

• Unnamed Item
• Commuting Toeplitz operators with harmonic symbols
• Pluriharmonic symbols of commuting Toeplitz operators
• Commuting Toeplitz operators on the harmonic Bergman space
• Semi-commutators of Toeplitz operators on the Bergman space
• Pluriharmonic Symbols of Commuting Toeplitz Type Operators on the Weighted Bergman Spaces
• Commuting Toeplitz operators with pluriharmonic symbols

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