Back to Search
Start Over
Commutator and Semicommutator of Two Monomial-Type Toeplitz Operators on the Unit Polydisk
- Source :
- Complex Analysis and Operator Theory. 13:2095-2121
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- In this paper, we completely characterize the finite rank commutator and semicommutator of two monomial-type Toeplitz operators on the weighted Bergman space or on the weighted pluriharmonic Bergman space of the unit polydisk. As a consequence, some interesting new phenomenons appear in operator theory on the unit polydisk which are different from that on the unit disk and the unit ball.
- Subjects :
- Unit sphere
Mathematics::Functional Analysis
Pure mathematics
Monomial
Mathematics::Complex Variables
Applied Mathematics
010102 general mathematics
Mathematical analysis
Commutator (electric)
Operator theory
01 natural sciences
Unit disk
Toeplitz matrix
law.invention
Computational Mathematics
Computational Theory and Mathematics
Bergman space
law
0103 physical sciences
010307 mathematical physics
0101 mathematics
Mathematics
Bergman kernel
Subjects
Details
- ISSN :
- 16618262 and 16618254
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Complex Analysis and Operator Theory
- Accession number :
- edsair.doi...........55a88423072d0ca3cd0e566273330823