Commun. Korean Math. Soc. 2019; 34(2): 533-542
Online first article June 29, 2018 Printed April 30, 2019
https://doi.org/10.4134/CKMS.c180148
Copyright © The Korean Mathematical Society.
Yong Chen, Young Joo Lee
Hangzhou Normal University; Chonnam National University
We study commutants of Toeplitz operators acting on the Dirichlet space of the unit disk and prove that an operator in the Toeplitz algebra commuting with a Toeplitz operator with a nonconstant polynomial symbol must be a Toeplitz operator with an analytic symbol.
Keywords: commutant, Toeplitz operator, Dirichlet space
MSC numbers: Primary 47B35; Secondary 32A37
2019; 34(4): 1135-1143
2018; 33(3): 787-798
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