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Normal and hyponormal Toeplitz operators on the harmonic Bergman space

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초록

In this paper, we mainly discuss the normality and hyponormality of Toeplitz operators with non-harmonic symbols of the form $a_1z^{n_1}\overline{z}^{m_1}+a_2z^{n_2}\overline{z}^{m_2}+a_3z^{n_3}\overline{z}^{m_3}$ on the harmonic Bergman space, where each $a_k$ is a complex number, $n_k$ and $m_k$ are positive integers for $k=1, 2, 3$.

Abstract

In this paper, we mainly discuss the normality and hyponormality of Toeplitz operators with non-harmonic symbols of the form $a_1z^{n_1}\overline{z}^{m_1}+a_2z^{n_2}\overline{z}^{m_2}+a_3z^{n_3}\overline{z}^{m_3}$ on the harmonic Bergman space, where each $a_k$ is a complex number, $n_k$ and $m_k$ are positive integers for $k=1, 2, 3$.

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