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Commuting and Semi-commuting Monomial-type Toeplitz Operators on Some Weakly Pseudoconvex Domains
- Source :
- Canadian Mathematical Bulletin. 62:327-340
- Publication Year :
- 2019
- Publisher :
- Canadian Mathematical Society, 2019.
-
Abstract
- In this paper, we completely characterize the finite rank commutator and semi-commutator of two monomial-type Toeplitz operators on the Bergman space of certain weakly pseudoconvex domains. Somewhat surprisingly, there are not only plenty of commuting monomial-type Toeplitz operators but also non-trivial semi-commuting monomial-type Toeplitz operators. Our results are new even for the unit ball.
- Subjects :
- Unit sphere
Monomial
Pure mathematics
Rank (linear algebra)
General Mathematics
010102 general mathematics
Commutator (electric)
Type (model theory)
01 natural sciences
Toeplitz matrix
law.invention
law
Bergman space
0103 physical sciences
010307 mathematical physics
0101 mathematics
Mathematics
Toeplitz operator
Subjects
Details
- ISSN :
- 14964287 and 00084395
- Volume :
- 62
- Database :
- OpenAIRE
- Journal :
- Canadian Mathematical Bulletin
- Accession number :
- edsair.doi...........0a41adc451dd0c022991e884dd515913