Commuting and Semi-commuting Monomial-type Toeplitz Operators on Some Weakly Pseudoconvex Domains

Jiang, Cao ; Dong, Xing-Tang ; Zhou, Ze-Hua

Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 327-340

Résumé

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.

Détail

DOI : 10.4153/CMB-2018-026-1

Mots-clés : Toeplitz operator, Bergman space, monomial-type symbol, weakly pseudoconvex domain

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