• Title/Summary/Keyword: pluriharmonic Bergman space

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NOTE ON COMMUTING TOEPLITZ OPERATORS ON THE PLURIHARMONIC BERGMAN SPACE

  • Choe, Boo-Rim;Nam, Kye-Sook
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.259-269
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    • 2006
  • 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.