Green function estimates for second order elliptic operators in non-divergence form with Dini continuous coefficients

Two-sided sharp Green function estimates are obtained for second order uniformly elliptic operators in non-divergence form with Dini continuous coefficients bounded C1,1 domains, which shown to be comparable that of the Dirichlet Laplace operator domain. The first and derivative functions also derived. Moreover, boundary Harnack inequality an explicit decay rate interior Schauder’s these differential established, may independent interest.