Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form

We study the degenerate Kolmogorov equations (also known as kinetic Fokker–Planck equations) in nondivergence form. The leading coefficients $$a^{ij}$$ are merely measurable t and satisfy vanishing mean oscillation condition x, v with respect to some quasi-metric. also assume boundedness uniform nondegeneracy of v. prove global a priori estimates weighted mixed-norm Lebesgue spaces solvability results. show an application main result Landau equation. Our proof does not rely on any kernel estimates.