This paper shows that on the Bergman space of the open unit disk, the Toeplitz operator \(T_{{\overline{p}}+\varphi }\) and the small Hankel operator \(\Gamma _\psi\) commute only in the obvious cases, where \(\varphi\) and \(\psi\) are both bounded analytic functions, and p is an analytic polynomial.

中文翻译：

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伯格曼空间中的托普利茨和小型汉克尔运营商通勤

本文表明，在开单位圆盘的 Bergman 空间上，Toeplitz 算子\(T_{{\overline{p}}+\varphi }\)和小 Hankel 算子\(\Gamma _\psi\)仅可交换在明显的情况下，\(\varphi\)和\(\psi\)都是有界解析函数，p是解析多项式。