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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Commuting Toeplitz operators on the polydisk
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by Boo Rim Choe, Hyungwoon Koo and Young Joo Lee PDF
Trans. Amer. Math. Soc. 356 (2004), 1727-1749 Request permission

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.
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Additional Information
  • Boo Rim Choe
  • Affiliation: Department of Mathematics, Korea University, Seoul 136-701, Korea
  • MR Author ID: 251281
  • Email: choebr@math.korea.ac.kr
  • Hyungwoon Koo
  • Affiliation: Department of Mathematics, Korea University, Seoul 136-701, Korea
  • MR Author ID: 606733
  • Email: koohw@math.korea.ac.kr
  • Young Joo Lee
  • Affiliation: Department of Mathematics, Mokpo National University, Chonnam 534-729, Korea
  • Email: yjlee@mokpo.ac.kr
  • Received by editor(s): December 13, 2001
  • Published electronically: December 9, 2003
  • Additional Notes: This work was supported by the Korea Research Foundation Grant (KRF-2000-DP0014)
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 1727-1749
  • MSC (2000): Primary 47B35; Secondary 32A36
  • DOI: https://doi.org/10.1090/S0002-9947-03-03430-5
  • MathSciNet review: 2031039