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# Pluriharmonic symbols of commuting Toeplitz type operators on the weighted Bergman spaces

Published:1998-06-01
Printed: Jun 1998
• Young Joo Lee
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## Abstract

A class of Toeplitz type operators acting on the weighted Bergman spaces of the unit ball in the $n$-dimensional complex space is considered and two pluriharmonic symbols of commuting Toeplitz type operators are completely characterized.
 Keywords: Pluriharmonic functions, Weighted Bergman spaces, Toeplitz type operators.
 MSC Classifications: 47B38 - Operators on function spaces (general) 32A37 - Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx]