October 2021 On hyponormality of Toeplitz operators
Houcine Sadraoui, Mubariz Garayev, Hocine Guediri
Rocky Mountain J. Math. 51(5): 1821-1831 (October 2021). DOI: 10.1216/rmj.2021.51.1821

Abstract

In this work we give sufficient conditions for hyponormality of Toeplitz operators on weighted Bergman spaces when the analytic part of the symbol is a monomial and the conjugate part is a polynomial. We also adapt a function theoretic method, due to P. Ahern and Ž. Čučković (1996), to a class of Toeplitz operators on weighted Bergman spaces to get an extension of the necessary condition for hyponormality.

Citation

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Houcine Sadraoui. Mubariz Garayev. Hocine Guediri. "On hyponormality of Toeplitz operators." Rocky Mountain J. Math. 51 (5) 1821 - 1831, October 2021. https://doi.org/10.1216/rmj.2021.51.1821

Information

Received: 19 July 2020; Revised: 18 January 2021; Accepted: 16 February 2021; Published: October 2021
First available in Project Euclid: 17 February 2022

MathSciNet: MR4383001
zbMATH: 07524105
Digital Object Identifier: 10.1216/rmj.2021.51.1821

Subjects:
Primary: 47B35
Secondary: 15B48 , 31A10

Keywords: hyponormal , polynomial symbol , Toeplitz operator , ‎weighted Bergman space

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

Vol.51 • No. 5 • October 2021
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