Abstract
In this paper, we study the hyponormal Toeplitz operators \(T_{\varphi }\), where \(\varphi \) is a trigonometric polynomial symbol with finite degree. We present necessary and sufficient conditions for the hyponormality of \(T_{\varphi }\) under some assumptions about the coefficients of \(\varphi \). Next, we find the necessary condition for hyponormality of \(T_{\varphi }\).
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Acknowledgements
The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2019R1F1A1058633). The second author was supported by Basic Science Research Program to Research Institute for Basic Sciences (RIBS) of Jeju National University through the National Research Foundation of Korea (NRF) funded by the Ministry of Education. (2019R1A6A1A10072987)
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Communicated by Scott McCullough.
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Ko, E., Lee, J. Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces. Complex Anal. Oper. Theory 14, 83 (2020). https://doi.org/10.1007/s11785-020-01046-7
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DOI: https://doi.org/10.1007/s11785-020-01046-7