Commuting Toeplitz Operators on the Pluriharmonic Bergman Space

Author: Young Joo Lee

Source: Czechoslovak Mathematical Journal, Volume 54, Number 2, June 2004 , pp. 535-544(10)

Publisher: Springer

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Abstract:

We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.

Keywords: Toeplitz operators; pluriharmonic Bergman space

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:CMAJ.0000042589.81321.4c

Affiliations: 1: Department of Mathematics, Mokpo National University, Chonnam 534-729, Korea, Email: yjlee@mokpo.ac.kr

Publication date: 2004-06-01

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