The Schrodinger equation with singular time-dependent potentials

The aim of this note is to extend the theory of (linear) Schrodinger equations with time-dependent potentials developed by K. Yajima [29, 30] to slightly more singular potentials. This is done by proving that the well-known Strichartz estimates for the Schrodinger group remain valid if the usual Lebesgue spaces(1) are replaced by the Lorentz spaces L-p,L-2. Moreover, the regularity of the solutions can be described more precisely by utilizing a generalized Leibniz rule for fractional derivatives.