论文标题
$ l_ {d+1} $的iTô方程解决方案的一些属性
Some properties of solutions of Itô equations with drift in $L_{d+1}$
论文作者
论文摘要
本文是[8]的自然延续，其中强大的马尔可夫过程是在时间不均匀的环境中构建的，borel可测量均匀界限，均匀地构造了非排定扩散，并在$ l_ {d+1}中漂移（\ Mathbb {r Mathbb {r}^{d+1}）$。在这里，我们研究了这些过程的一些属性，例如Green功能的更高总和，Lebesgue空间中的分解运算符的界限，建立Itô的公式等等。
This paper is a natural continuation of [8], where strong Markov processes are constructed in time inhomogeneous setting with Borel measurable uniformly bounded and uniformly nondegenerate diffusion and drift in $L_{d+1}(\mathbb{R}^{d+1})$. Here we study some properties of these processes such as higher summability of Green's functions, boundedness of resolvent operators in Lebesgue spaces, establish Itô's formula, and so on.
