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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2006; 43(2): 259-269

Printed March 1, 2006

Copyright © The Korean Mathematical Society.

Note on commuting Toeplitz operators on the Pluriharmonic Bergman space

Boo Rim Choe and Kye Sook Nam

Korea University, Hanshin University

Abstract

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We obtain a characterization of commuting Toeplitz operators with holomorphic symbols acting on the pluriharmonic Bergman space of the polydisk. We also obtain a characterization of normal Toeplitz operators with pluriharmonic symbols. In addition, some results for special types of semi-commutators are included.

Keywords: Toeplitz operator, pluriharmonic Bergman space, poly-disk

MSC numbers: Primary 47B35; Secondary 32A36

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