2023AIMS MathematicsOpen access

Product of H-Toeplitz operator and Toeplitz operator on the Bergman space

Qian Ding, Yong Chen

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Abstract

In this paper, we characterize when the product of two H-Toeplitz operators to be another H-Toeplitz with one general and another quasihomogeneous symbols. Also, we describe the product of H-Toeplitz operator and Toeplitz operator to be another H-Toeplitz with certain harmonic symbols.

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In this paper, we characterize when the product of two H-Toeplitz operators to be another H-Toeplitz with one general and another quasihomogeneous symbols. Also, we describe the product of H-Toeplitz operator and Toeplitz operator to be another H-Toeplitz with certain harmonic symbols.

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Available abstract

In this paper, we characterize when the product of two H-Toeplitz operators to be another H-Toeplitz with one general and another quasihomogeneous symbols. Also, we describe the product of H-Toeplitz operator and Toeplitz operator to be another H-Toeplitz with certain harmonic symbols.

Key concepts: Toeplitz matrix, Toeplitz operator, Mathematics, Levinson recursion, Operator (biology), Bergman space, Pure mathematics, Product (mathematics)

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