Geodesic
Commuting and Semi-commuting Monomial-type Toeplitz Operators on Some Weakly Pseudoconvex Domains
Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 327-340

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DOI

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.
DOI : 10.4153/CMB-2018-026-1
Mots-clés : Toeplitz operator, Bergman space, monomial-type symbol, weakly pseudoconvex domain 
Jiang, Cao; Dong, Xing-Tang; Zhou, Ze-Hua. Commuting and Semi-commuting Monomial-type Toeplitz Operators on Some Weakly Pseudoconvex Domains. Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 327-340. doi: 10.4153/CMB-2018-026-1
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     author = {Jiang, Cao and Dong, Xing-Tang and Zhou, Ze-Hua},
     title = {Commuting and {Semi-commuting} {Monomial-type} {Toeplitz} {Operators} on {Some} {Weakly} {Pseudoconvex} {Domains}},
     journal = {Canadian mathematical bulletin},
     pages = {327--340},
     year = {2019},
     volume = {62},
     number = {2},
     doi = {10.4153/CMB-2018-026-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-026-1/}
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