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 language | English |
|---|---|
| Pages (from-to) | 1727-1749 |
| Number of pages | 23 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 356 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2004 May |
Keywords
- Bergman space
- N-harmonic function
- Toeplitz operator
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Choe, B. R., Koo, H., & Lee, Y. J. (2004). Commuting Toeplitz operators on the polydisk. Transactions of the American Mathematical Society, 356(5), 1727-1749. https://doi.org/10.1090/S0002-9947-03-03430-5