Bull. Korean Math. Soc. 2023; 60(4): 957-969
Online first article May 17, 2023 Printed July 31, 2023
https://doi.org/10.4134/BKMS.b220428
Copyright © The Korean Mathematical Society.
Chunxu Xu, Tao Yu
Guangzhou University; Dalian University of Technology
Let $j$ be a nonnegative integer. We define the Toeplitz-type operators $T_{a}^{(j)}$ with symbol $a\in L^{\infty}(C)$, which are variants of the traditional Toeplitz operators obtained for $j=0$. In this paper, we study the boundedness of these operators and characterize their compactness in terms of its Berezin transform.
Keywords: Toeplitz-type operators, boundedness, compactness, Fock space
MSC numbers: 47B35, 47B10
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