Abstract
On the harmonic Bergman space of the unit ball in Rn, we show that if the product of Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically zero. There are restrictions, caused by our methods, on the number of factors in the product.
Original language | English |
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Pages (from-to) | 45-78 |
Number of pages | 34 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 41 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 |
Keywords
- Finite rank product
- Harmonic bergman space
- Harmonic symbol
- Toeplitz operator
ASJC Scopus subject areas
- Mathematics(all)