Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2.

It is well known that the resolvent of the free Schrödinger operator on weighted L 2 spaces has norm decaying like λ - 1 2 at energy λ . There are several works proving analogous high frequency estimates for magnetic Schrödinger operators, with large long or short range potentials, in dimensions n ≥ 3 . We prove that the same estimates remain valid in all dimensions n ≥ 2 . [ABSTRACT FROM AUTHOR]