Abstract
On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena.
Original language | English |
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Pages (from-to) | 365-382 |
Number of pages | 18 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 381 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 Sept 1 |
Bibliographical note
Funding Information:✩ The first two authors were supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean Government (MEST) (R01-2008-000-20206-0). The third author was supported by the National Research Foundation of Korea grant funded by the Korean Government (NRF-2010-013-C00005). * Corresponding author. E-mail addresses: [email protected] (B.R. Choe), [email protected] (H. Koo), [email protected] (Y.J. Lee).
Keywords
- Hardy space
- Pluriharmonic symbol
- Toeplitz operator
- Zero product
ASJC Scopus subject areas
- Analysis
- Applied Mathematics