  In this paper, we proved the local well-posedness for the Navier-Stokes
equtions describing the motion of isotropic barotoropic compressible viscous
fluid flow with non-slip boundary conditions, wehre the fluid domain is the
half-space in the $N$-dimensional Euclidean space. The density part of
solutions and their time derivative belong to $L_1$ in time with some Besov
spaces in space and also the velosity parts and their time derivative belong to
$L_1$ in time with some Besov spaces in space. We use Lagrange transformation
to eliminate the covection term and we use an analytic semgroup approach. Our
Stokes semigroup is not only a continuous analytic semigroup but also has an
$L_1$ in times maximal regularity with some Besov spaces in space.
