Semi-classical resolvent estimates for short-range l infty potentials. II

We prove semi-classical resolvent estimates for real-valued potentials V $\in$ L $\infty$ (R n), n $\ge$ 3, of the form V = VL + VS, where VL is a long-range potential which is C 1 with respect to the radial variable, while VS is a short-range potential satisfying VS(x) = O x --$\delta$ with $\delta$ > 1.