논문KCI 등재
Normal and hyponormal Toeplitz operators on the harmonic Bergman space
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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 $k=1, 2, 3$.
관련 논문AI추천
A sufficient condition for hyponormal Toeplitz operators on the Bergman space김수민, 이종락대한수학회 · 대한수학회보2024 · 제61권 제4호Commutativity and hyponormality of Toeplitz operators on the weighted Bergman spaceChaomei Liu, Yufeng Lu대한수학회 · 대한수학회지2009 · 제46권 제3호Invariant submean value inequality and hyponormality of Toeplitz operators on the upper half-planeFarouq Alshormani, Hocine Guediri, Houcine Sadraoui대한수학회 · 대한수학회지2025 · 제62권 제4호The Hyponormal Toeplitz operators on the vector valued Bergman spacePuyu Cui, Yanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2014 · 제51권 제1호Hyponormality of Toeplitz operators on the Bergman space황인성대한수학회 · 대한수학회지2008 · 제45권 제4호Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weightsJuntao Du, Songxiao Li대한수학회 · 대한수학회보2021 · 제58권 제3호
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