论文标题
Martingale Transforms的粗糙半明天和$ p $变化的估计
Rough semimartingales and $p$-variation estimates for martingale transforms
论文作者
论文摘要
我们建立了针对Martingale Paraproducts，Martingale Transforms和Itô积分的新量表，这些量表在粗糙路径理论，随机分析和谐波分析中相关。作为一种应用，我们介绍了粗糙的半明天，对经典半障碍和（受控的）粗糙路径的共同概括及其整合理论。
We establish a new scale of $p$-variation estimates for martingale paraproducts, martingale transforms, and Itô integrals, of relevance in rough paths theory, stochastic, and harmonic analysis. As an application, we introduce rough semimartingales, a common generalization of classical semimartingales and (controlled) rough paths, and their integration theory.
