Abstract
In this paper, we study necessary and sufficient conditions for the hyponormality of Toeplitz operators with some non-harmonic symbols on the generalized derivative Hardy space. Moreover, we characterize the expansivity and contractivity of Toeplitz operators with such symbols on the generalized derivative Hardy space.
Original language | English |
---|---|
Article number | 3 |
Journal | Mediterranean Journal of Mathematics |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2023 |
Bibliographical note
Funding Information: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 the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2019R1A2C1002653). The second author was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT)(No. 2022R1H1A2091052). The third author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2021R1C1C1008713).
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Keywords
- Derivative Hardy spaces
- Toeplitz operator
- hyponormal
- non-harmonic symbols