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The Pluriharmonic Toeplitz Operators on the Polydisk

✍ Scribed by Ding Xuanhao; Tang Shengqiang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 114 KB
Volume: 254
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7265

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✦ Synopsis

In this paper we completely characterize the compact semi-commutator of two Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the polydisk. Several necessary and sufficient conditions are obtained for the commutator of two Toeplitz operators with bounded pluriharmonic symbols on the polydisk to be compact.

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