On Hyponormality of Toeplitz Operators on the Weighted Bergman Space

Munmun Hazarika, Ambeswar Phukon

Abstract


In this paper we give necessary and sufficient conditions for the hyponormality of the Toeplitz operator $T_\varphi$ on the weighted Bergman space $A^2_\alpha(\mathbb{D})$ for $\varphi(z)=\bar{a}_{-3}\bar{z}^3+\bar{a}_{-1}\bar{z}+a_1z+a_3z^3$ and $\varphi(z)=\bar{a}_{-3}\bar{z}^3+\bar{a}_{-2}\bar{z}^2+a_2z^2+a_3z^3$.

Keywords


Toeplitz operators; Hyponormal operators; Weighted Bergman space

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DOI: http://dx.doi.org/10.26713%2Fcma.v3i2.152

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