论文标题
在随机itô上，$ l_ {d} $ intrains driftes
On stochastic Itô processes with drift in $L_{d}$
论文作者
论文摘要
对于$ \ Mathbb {r}^{d} $中的随机过程，在$ l_ {d} $ aleksandrov的类型估计中，在椭圆机和抛物线设置中建立了drift。它们用于估计$ l_ {p} $和$ l_ {p+1} $的相应椭圆和抛物线运算符的分解运算符，其中$ p \ geq d $。
For Itô stochastic processes in $\mathbb{R}^{d}$ with drift in $L_{d}$ Aleksandrov's type estimates are established in the elliptic and parabolic settings. They are applied to estimating the resolvent operators of the corresponding elliptic and parabolic operators in $L_{p}$ and $L_{p+1}$, respectively, where $p\geq d$.
