Commuting Toeplitz operators on the polydisk

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We obtain characterizations of (essentially) commuting Toeplitz operators with pluriharmonic symbols on the Bergman space of the polydisk. We show that commuting and essential commuting properties are the same for dimensions bigger than 2, while they are not for dimensions less than or equal to 2. Also, the corresponding results for semi-commutators are obtained.

Original languageEnglish
Pages (from-to)1727-1749
Number of pages23
JournalTransactions of the American Mathematical Society
Volume356
Issue number5
DOIs
Publication statusPublished - 2004 May 1

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Electric commutators
Polydisk
Toeplitz Operator
Bergman Space
Less than or equal to
Commutator

Keywords

  • Bergman space
  • N-harmonic function
  • Toeplitz operator

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Commuting Toeplitz operators on the polydisk. / Choe, Boo Rim; Koo, Hyung Woon; Lee, Young Joo.

In: Transactions of the American Mathematical Society, Vol. 356, No. 5, 01.05.2004, p. 1727-1749.

Research output: Contribution to journalArticle

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