Year: 2026
Type: preprint
Abstract: In this paper, we completely characterize hyponormal dual Toeplitz operators with general bounded measurable symbols by using the Douglas theorem in [R. G. Douglas, Proc. Amer. Math. Soc. 17 (1966), 413-415]. As an application, the hyponormality of dual Toeplitz operators with radial symbols and polynomial symbols in $z$ and $\bar{z}$ is characterized concretely. Moreover, we obtain complete characterizations for both subnormal dual Toeplitz operators with harmonic polynomial symbols and $\varTheta$-class dual Toeplitz operators with bounded harmonic symbols.
Source: arXiv (Cornell University)
Authors: Kong, Linghui, Li, Yongning, Sun, Da, Zheng, Dechao
Institutions: Vanderbilt University, Northeast Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223820799