  For It\^o 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 $p\geq d$.
