Weighted Lp decay for solutions of the Navier-Stokes equations

We consider bounded strong solutions of the incompressible Navier-Stokes equations in n dimensions, where n >= 2, with potential forcing. Assuming that the initial datum is well localized, and assuming that a solution u satisfies \\u\\L-2 = O(t(-gamma 0)) for some gamma(0) >= 0, we prove that \\ \x\(a)\u\ \\(Lp) = O(t(-gamma 0+a/2+(n/2)(1/p-1/2))) for all p is an element of [2, infinity) and for all a is an element of [0, n/p') where p' = p/(p - 1).