Note on commuting toeplitz operators on the pluriharmonic bergman space

Boo Rim Choe; Kye Sook Nam

doi:10.4134/JKMS.2006.43.2.259

Note on commuting toeplitz operators on the pluriharmonic bergman space

Boo Rim Choe, Kye Sook Nam

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	259-269
Number of pages	11
Journal	Journal of the Korean Mathematical Society
Volume	43
Issue number	2
DOIs	https://doi.org/10.4134/JKMS.2006.43.2.259
Publication status	Published - 2006 Mar

Keywords

Pluriharmonic bergman space
Polydisk
Toeplitz operator

ASJC Scopus subject areas

Mathematics(all)

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10.4134/JKMS.2006.43.2.259

Cite this

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title = "Note on commuting toeplitz operators on the pluriharmonic bergman space",

abstract = "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 = "Pluriharmonic bergman space, Polydisk, Toeplitz operator",

author = "Choe, {Boo Rim} and Nam, {Kye Sook}",

year = "2006",

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journal = "Journal of the Korean Mathematical Society",

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AU - Choe, Boo Rim

AU - Nam, Kye Sook

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N2 - 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.

AB - 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.

KW - Pluriharmonic bergman space

KW - Polydisk

KW - Toeplitz operator

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U2 - 10.4134/JKMS.2006.43.2.259

DO - 10.4134/JKMS.2006.43.2.259

M3 - Article

AN - SCOPUS:33644797863

SN - 0304-9914

VL - 43

SP - 259

EP - 269

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 2

ER -

Note on commuting toeplitz operators on the pluriharmonic bergman space

Abstract

Keywords

ASJC Scopus subject areas

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