Strichartz estimates for Schr\"odinger operators with a non-smooth magnetic potential

We prove Strichartz estimates for the absolutely continuous evolution of a Schr"odinger operator $H=(i\mathrm{\nabla }+A{)}^2+V$ in ${\mathbb{R}}^n$, $n>2$. Both the magnetic and electric potentials are time-independent and satisfy pointwise polynomial decay bounds. The vector potential $A(x)$ is assumed to be continuous but need not possess any Sobolev regularity. This work is a refinement of previous methods, which required extra conditions on ${\rm div} A$or$|\nabla|^{\frac12}A$ in order to place the first order part of the perturbation within a suitable class of pseudo-differential operators.