The paper contains an alternative proof of the celebrated $L^p$ estimates for differentially subordinate martingales established by Burkholder and Wang in the eighties and nineties. The approach links the validity of the estimate to the existence of a lower solution to a novel boundary value problem.

中文翻译：

---

Burkholder 的 Lp 估计的双重方法

该论文包含了著名的另一种证明 ${升}^{磷}$Burkholder 和 Wang 在八九十年代建立的差异从属鞅估计。该方法将估计的有效性与新边界值问题的较低解的存在联系起来。