Commutators and Semi-commutators of Monomial Toeplitz Operators on the Pluriharmonic Hardy Space
Yingying Zhang , Xingtang Dong
Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (5) : 717 -732.
Commutators and Semi-commutators of Monomial Toeplitz Operators on the Pluriharmonic Hardy Space
In this paper, the authors completely characterize the finite rank commutator and semi-commutator of two monomial Toeplitz operators on the pluriharmonic Hardy space of the torus or the unit sphere. As a consequence, many non-trivial examples of (semi-)commuting Toeplitz operators on the pluriharmonic Hardy spaces are given.
Toeplitz operator / Pluriharmonic Hardy space / Commutator / Semicommutator / Monomial symbol
/
| 〈 |
|
〉 |
PDF
