We consider the Fokker–Planck operator with a strong external magnetic field. We show a maximal type estimate on this operator using a nilpotent approach on vector field polynomial operators and including the notion of representation of a Lie algebra. This estimate makes it possible to give an optimal characterization of the domain of the closure of the considered operator.

中文翻译：

---

带磁场的 Fokker-Planck 算子的最大估计

我们考虑具有强外部磁场的 Fokker-Planck 算子。我们使用向量场多项式运算符的幂零方法并包括李代数的表示概念，展示了对该运算符的极大类型估计。该估计使得可以给出所考虑算子的闭包域的最佳表征。