In this talk, we consider the global well-posedness problem of the isentropic compressible Navier-Stokes equations in the whole space RN with N _ 2. In order to better reflect the dispersive property of this system in the low frequency part, we introduce a new solution space that characterizes the behaviors of the solutions in different frequencies, and prove that the isentropic compressible Navier-Stokes equations admit global solutions when the initial data are close to a stable equilibrium in the sense of suitable hybrid Besov norm. As a consequence, the initial velocity with arbitrary ˙B norm of potential part P?u0 and large highly oscillating are allowed in our results. The proof relies heavily on the dispersive estimates for the system of acoustics, and a careful study of the nonlinear terms. This is the joint work with Ting Zhang and Ruozhao Zi.