  We employ separation of variables to prove weighted resolvent estimates for
the semiclassical Schr\"odinger operator $-h^2 \Delta + V(|x|) - E$ in
dimension $n \ge 2$, where $h, \, E > 0$, and $V: [0, \infty) \to \mathbb{R}$
is $L^\infty$ and compactly supported. The weighted resolvent norm grows no
faster than $\exp(Ch^{-1})$, while an exterior weighted norm grows $\sim
h^{-1}$. We introduce a new method based on the Mellin transform to handle the
two-dimensional case.
