Bull. Korean Math. Soc. 2020; 57(2): 509-520
Online first article December 4, 2019 Printed March 31, 2020
https://doi.org/10.4134/BKMS.b190371
Copyright © The Korean Mathematical Society.
Kyunguk Na
Hanshin University
We study the Toeplitz operators on the holomorphic and pluriharmonic Dirichlet spaces of the polydisk in terms of when Toeplitz operator is Fredholm operator there. Consequently, we describe the essential spectrum of Toeplitz operators.
Keywords: Toeplitz operator, Dirichlet space, pluriharmonic Dirichlet space, Fredholm operator
MSC numbers: Primary 47B35; Secondary 32A37
Supported by: The author was supported by Hanshin University Research Grant.
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