Back to Search
Start Over
Product of quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space of the polydisk
- Source :
- Ann. Funct. Anal. 10, no. 1 (2019), 1-15
- Publication Year :
- 2019
- Publisher :
- Duke University Press, 2019.
-
Abstract
- In this article, we first give an essential characterization of Toeplitz operators with quasihomogeneous symbols on the weighted pluriharmonic Bergman space of the unit polydisk. Then we completely characterize when the product of two Toeplitz operators with monomial-type symbols is a Toeplitz operator. As a result, some interesting higher-dimensional phenomena appear on the unit polydisk.
- Subjects :
- Pure mathematics
Control and Optimization
Algebra and Number Theory
weighted pluriharmonic Bergman space
Characterization (mathematics)
Toeplitz matrix
unit polydisk
quasihomogeneous symbol
Bergman space
Product (mathematics)
47B35
Unit (ring theory)
Analysis
Toeplitz operators
46E22
Toeplitz operator
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Ann. Funct. Anal. 10, no. 1 (2019), 1-15
- Accession number :
- edsair.doi.dedup.....5ecbf19553baed40017f7917db525a86