Let $u(x,t)$ be the solution to the free time-dependent Schrodinger equation at the point $(x,t)$ in space-time $\R \sp n + 1$ with initial data $f$. We characterize the size of $u$ in terms $L \sp p (L \sp q)$-estimates with power weights. Our bounds are given by norms of $f$ in homogeneous Sobolev spaces $\sbsp n \dot s$. \endgraf Our methods include use of spherical harmonics, uniformity properties of Bessel functions and interpolation of vector valued weighted Lebesgue spaces.