  In this paper, we mainly investigate a class of Kolmogorov-Fokker-Planck
operator with 4 different scalings in nondivergence form. And we assume the
coefficients $a^{ij}$ are only measurable in $t$ and satisfy the vanishing mean
oscillation in space variables. We establish a global priori estimates of
$\nabla_x^u$, $\dy u$ and $\dz u$ in $L^p$ space which extend the work of Dong
and Yastrzhembskiy \cite{ref49} where they focus on the 3 different scalings
KFP operator. Moreover we establish a kind of Poincare inequality for
homogeneous equations.
