2013Studia MathematicaOpen access

Product equivalence of quasihomogeneous Toeplitz operators on the harmonic Bergman space

Xing-Tang Dong, Ze‐Hua Zhou

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Abstract

We present here a quite unexpected result: If the product of two quasihomogeneous Toeplitz operators $T_fT_g$ on the harmonic Bergman space is equal to a Toeplitz operator $T_h$, then the product $T_gT_f$ is also the Toeplitz operator $T_h$, and hence $T_

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What this paper is about

We present here a quite unexpected result: If the product of two quasihomogeneous Toeplitz operators $T_fT_g$ on the harmonic Bergman space is equal to a Toeplitz operator $T_h$, then the product $T_gT_f$ is also the Toeplitz operator $T_h$, and hence $T_

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Available abstract

We present here a quite unexpected result: If the product of two quasihomogeneous Toeplitz operators $T_fT_g$ on the harmonic Bergman space is equal to a Toeplitz operator $T_h$, then the product $T_gT_f$ is also the Toeplitz operator $T_h$, and hence $T_

Key concepts: Toeplitz matrix, Mathematics, Bergman space, Toeplitz operator, Equivalence (formal languages), Pure mathematics, Product (mathematics), Harmonic

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