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Bull. Korean Math. Soc. 2023; 60(1): 161-170

Online first article September 1, 2022      Printed January 31, 2023

https://doi.org/10.4134/BKMS.b220042

Copyright © The Korean Mathematical Society.

Zero sums of dual Toeplitz products on the orthogonal complement of the Dirichlet space

Young Joo Lee

Chonnam National University

Abstract

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We consider dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space on the unit disk. We give a characterization of when a finite sum of products of two dual Toeplitz operators is equal to $0$. Our result extends several known results by using a unified way.

Keywords: Dual Toeplitz operator, dual Hankel operator, Dirichlet space

MSC numbers: Primary 47B35; Secondary 32A36

Supported by: This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(NRF-2019R1I1A3A01041943).

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