Resolvent estimates for the magnetic Schr��dinger operator in dimension $n \geq 2$

It is well known that the resolvent of the free Schr��dinger operator on weighted $L^2$ spaces has norm decaying like $��^{-\frac{1}{2}}$ at energy $��$. There are several works proving analogous high-frequency estimates for magnetic Schr��dinger operators, with large long or short range potentials, in dimensions $n \geq 3$. We prove that the same estimates remain valid in all dimensions $n \geq 2$.
21 pages