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Some differential and integral equations with applications to Toeplitz operators

Research paper by Young Joo Lee, Kehe Zhu

Indexed on: 01 Dec '02Published on: 01 Dec '02Published in: Integral Equations and Operator Theory



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.