Resumen de Commuting Toeplitz and small Hankel operators on the Bergman space

Jiawei Wang, Jie Zhang, Xianfeng Zhao

• 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.