Toeplitz operators and composition operators on the q-Bergman space

被引：0
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作者：
Houcine Sadraoui
Borhen Halouani
机构：
[1] King Saud University,Department of Mathematics, College of Science
来源：
Journal of Pseudo-Differential Operators and Applications | 2024年 / 15卷
关键词：
-Bergman space; Toeplitz operators; Hyponormal; Composition operators; Primary 47B35; 47B33; Secondary 30C40;
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摘要：
In this work we consider Toeplitz operators and composition operators on the q-Bergman space.We give some spectral properties of Toeplitz operators in general and a sufficient condition for hyponormality of Toeplitz operators in the case of a symbol where the analytic part is a monomial. We also give a necessary condition for hyponormality in the general case of a harmonic symbol as well as a necessary and sufficient condition for such operators to commute. For composition operators we give necessary conditions and sufficient conditions for their compactness and normality, as well as necessary conditions for cohyponormality in the case of a linear fractional map and we finally compute the adjoint in the case of a linear map.
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