Revista de la
Unión Matemática Argentina
On hyponormality and a commuting property of Toeplitz operators
Houcine Sadraoui and Borhen Halouani

Volume 67, no. 2 (2024), pp. 445–453    

Published online (final version): September 16, 2024

https://doi.org/10.33044/revuma.3555

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Abstract

In this work we give sufficient conditions for hyponormality of Toeplitz operators on a weighted Bergman space when the analytic part of the symbol is a monomial and the conjugate part is a polynomial. We also extend a known commuting property of Toeplitz operators with a harmonic symbol on the Bergman space to weighted Bergman spaces.

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