  In this paper, we prove the local well-posedness for the Navier-Stokes
equations describing the motion of isotropic barotoropic compressible viscous
fluid flow with non-slip boundary conditions, where the fluid domain is the $N$
dimensional half-sapce. We solve the equations in the $L_1$ in time and Besov
spaces $B^s_{q,1}$ in space maximal regularity framework. Here, we assume that
$-1+N/q \leq s < 1/q$ and $N-1 < q < 2N$. We use Lagrange transformation to
eliminate the convection term and we use an analytic semigroup approach. We
only assume the strictly positiveness of initial mass density.
