Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces

Eungil Ko; Jongrak Lee

doi:10.1007/s11785-020-01046-7

Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces

Eungil Ko, Jongrak Lee

Department of Mathematics

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

5 Scopus citations

Abstract

In this paper, we study the hyponormal Toeplitz operators T_φ, where φ is a trigonometric polynomial symbol with finite degree. We present necessary and sufficient conditions for the hyponormality of T_φ under some assumptions about the coefficients of φ. Next, we find the necessary condition for hyponormality of T_φ.

Original language	English
Article number	83
Journal	Complex Analysis and Operator Theory
Volume	14
Issue number	8
DOIs	https://doi.org/10.1007/s11785-020-01046-7
State	Published - 1 Nov 2020

Bibliographical note

Publisher Copyright:
© 2020, Springer Nature Switzerland AG.

Keywords

Hyponormal
Toeplitz operators
Weighted Bergman space

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10.1007/s11785-020-01046-7

Cite this

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abstract = "In this paper, we study the hyponormal Toeplitz operators Tφ, where φ is a trigonometric polynomial symbol with finite degree. We present necessary and sufficient conditions for the hyponormality of Tφ under some assumptions about the coefficients of φ. Next, we find the necessary condition for hyponormality of Tφ.",

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AB - In this paper, we study the hyponormal Toeplitz operators Tφ, where φ is a trigonometric polynomial symbol with finite degree. We present necessary and sufficient conditions for the hyponormality of Tφ under some assumptions about the coefficients of φ. Next, we find the necessary condition for hyponormality of Tφ.

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KW - Weighted Bergman space

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Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces

Abstract

Bibliographical note

Keywords

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