Investigation reveals hyponormality conditions for Toeplitz operators in Fock–Sobolev spaces, indicating broader implications for functional analysis.
In this paper, we investigate the hyponormality of Toeplitz operators Tφ acting on the Fock–Sobolev spaces F2,m . We first establish the necessary and sufficient conditions for the hyponormality of Tφ when the symbol φ belongs to the class f+ ḡ where f and g are polynomials. We then derive necessary condition for hyponormality of Tφ with trigonometric polynomial symbols φ .
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Ko et al. (2026) studied this question.
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