  In this paper, we can obtain curvature estimates for spacelike admissible
graphic hypersurfaces in the $(n+1)$-dimensional Lorentz-Minkowski space
$\mathbb{R}^{n+1}_{1}$, and through which the existence of spacelike admissible
graphic hypersurfaces, with prescribed $2$-th Weingarten curvature and
Dirichlet boundary data, defined over a strictly convex domain in the
hyperbolic plane $\mathscr{H}^{n}(1)\subset\mathbb{R}^{n+1}_{1}$ of center at
origin and radius $1$, can be proven.
