论文标题

Burkholder的$ l^p $估算的双重方法

A dual approach to Burkholder's $L^p$ estimates

论文作者

Bañuelos, Rodrigo, Gałązka, Tomasz, Osękowski, Adam

论文摘要

该论文包含了著名的$ l^p $估计值的替代证明,该估计是伯克霍尔德和王在八十年代和九十年代建立的差异下属群众。该方法将估计值的有效性与较低解决方案的存在联系到新的边界价值问题。

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.

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