Some differential and integral equations with applications to Toeplitz operators

Young Joo Lee; Kehe Zhu

doi:10.1007/BF01193672

Some differential and integral equations with applications to Toeplitz operators

Young Joo Lee
, Kehe Zhu

Mathematics and Statistics

University at Albany

Mokpo National University

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz operators on the pluriharmonic Bergman space. In addition, pluriharmonic symbols of normal Toeplitz operators are characterized. Also, zero semi-commutators for certain classes of Toeplitz operators are characterized.

Original language	English
Pages (from-to)	466-479
Number of pages	14
Journal	Integral Equations and Operator Theory
Volume	44
Issue number	4
DOIs	https://doi.org/10.1007/BF01193672
State	Published - 2002

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abstract = "We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz operators on the pluriharmonic Bergman space. In addition, pluriharmonic symbols of normal Toeplitz operators are characterized. Also, zero semi-commutators for certain classes of Toeplitz operators are characterized.",

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AU - Zhu, Kehe

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N2 - We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz operators on the pluriharmonic Bergman space. In addition, pluriharmonic symbols of normal Toeplitz operators are characterized. Also, zero semi-commutators for certain classes of Toeplitz operators are characterized.

AB - We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz operators on the pluriharmonic Bergman space. In addition, pluriharmonic symbols of normal Toeplitz operators are characterized. Also, zero semi-commutators for certain classes of Toeplitz operators are characterized.

UR - https://www.scopus.com/pages/publications/0036448957

U2 - 10.1007/BF01193672

DO - 10.1007/BF01193672

M3 - Article

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VL - 44

SP - 466

EP - 479

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -

Some differential and integral equations with applications to Toeplitz operators

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