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.References
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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