Bull. Korean Math. Soc. 2019; 56(2): 319-331
Online first article March 13, 2019 Printed March 1, 2019
https://doi.org/10.4134/BKMS.b180020
Copyright © The Korean Mathematical Society.
Yinyin Hu, Yufeng Lu
Dalian Maritime university; Dalian University of Technology
On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.
Keywords: Toeplitz operator, compactness, weighted Dirichlet space
MSC numbers: Primary 47B35
Supported by: This work was financially supported by NSFC No. 11671065
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