Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

Eungil Ko; Ji Eun Lee; Jongrak Lee

doi:10.1007/s00009-022-02209-w

Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

Eungil Ko, Ji Eun Lee, Jongrak Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1007/s00009-022-02209-w
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

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10.1007/s00009-022-02209-w

Cite this

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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.",

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doi = "10.1007/s00009-022-02209-w",

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AU - Lee, Jongrak

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Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space

Abstract

Bibliographical note

Keywords

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