Abstract
In the setting of the Fock space over the complex plane, Bauer and Lee have recently characterized commutants of Toeplitz operators with radial symbols, under the assumption that symbols have at most polynomial growth at infinity. Their characterization states: If one of the symbols of two commuting Toeplitz operators is nonconstant and radial, then the other must be also radial. We extend this result to the Fock-Sobolev spaces.
Original language | English |
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Pages (from-to) | 779-790 |
Number of pages | 12 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 415 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 Jul 15 |
Keywords
- Commutant
- Fock-Sobolev space
- Radial symbol
- Toeplitz operator
ASJC Scopus subject areas
- Analysis
- Applied Mathematics