Abstract
We study the commuting problem for Toeplitz operators on the harmonic Bergman space of the unit disk. We show that an analytic Toeplitz operator and a co-analytic Toeplitz operator with certain noncyclicity hypothesis can commute only when one of their symbols is constant. We also obtain analogous results for semi-commutants.
Original language | English |
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Pages (from-to) | 559-564 |
Number of pages | 6 |
Journal | Integral Equations and Operator Theory |
Volume | 50 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2004 Dec |
Keywords
- Commutant
- Harmonic Bergman space
- Toeplitz operator
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory