Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Issam Louhichi, Lova Zakariasy
Abstract
Open-access reader
Issam Louhichi, Lova Zakariasy
Abstract
Open-access reader
In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous Toeplitz operators is also a Toeplitz operator, and when such operators commute.
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In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous Toeplitz operators is also a Toeplitz operator, and when such operators commute.
Key concepts: Toeplitz matrix, Bergman space, Toeplitz operator, Mathematics, Harmonic, Unit disk, Pure mathematics, Product (mathematics)