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FINITE RANK PRODUCTS OF TOEPLITZ OPERATORS ON THE HARMONIC BERGMAN SPACE
- Authors
- Choe, Boo Rim; Koo, Hyungwoon; Na, Kyunguk
- Issue Date
- 2011
- Publisher
- ROCKY MT MATH CONSORTIUM
- Keywords
- Finite rank product; Toeplitz operator; harmonic symbol; harmonic Bergman space
- Citation
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.41, no.1, pp.45 - 78
- Indexed
- SCIE
SCOPUS
- Journal Title
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Volume
- 41
- Number
- 1
- Start Page
- 45
- End Page
- 78
- ISSN
- 0035-7596
- Abstract
- On the harmonic Bergman space of the unit ball in R(n), 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.
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