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Sums of Toeplitz products with harmonic symbols
- Authors
- Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo
- Issue Date
- 2008
- Publisher
- EUROPEAN MATHEMATICAL SOC
- Keywords
- Toeplitz operators; Bergman space; finite rank operators
- Citation
- REVISTA MATEMATICA IBEROAMERICANA, v.24, no.1, pp.43 - 70
- Indexed
- SCIE
SCOPUS
- Journal Title
- REVISTA MATEMATICA IBEROAMERICANA
- Volume
- 24
- Number
- 1
- Start Page
- 43
- End Page
- 70
- ISSN
- 0213-2230
- Abstract
- On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.
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