Temporal decays in L1 and L∞ for the Stokes flow

We estimate the time decay rates in L1, in the Hardy space and in L∞ of solutions for the Stokes equations on the half spaces. For the estimates in the Hardy space we adopt the ideas in (Math. Z. 231 (1999) 383; Temporal and spatial decays for the Stokes flows, submitted for publication), and also use the heat kernel and the solution formula for the Stokes equations.