2011arXiv (Cornell University)Open access

Quasihomogeneous Toeplitz operators on the harmonic Bergman space

Issam Louhichi, Lova Zakariasy

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Abstract

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.

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Available abstract

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)

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