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

  • Cao Jiang (a1), Xing-Tang Dong (a1) and Ze-Hua Zhou (a1)
Abstract

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.

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Z.-H. Zhou is corresponding author. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11201331; 11371276; 11771323).

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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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