Estimates of the fundamental solution for magnetic Schrodinger operators and their applications

We study the magnetic Schrodinger operator H on R-n, n greater than or equa l to 3. We assume that the electrical potential V and the magnetic potentia l a belong to a certain reverse Holder class, including the case that V is a non-negative polynomial and the components of a are polynomials. We show some estimates for operators of Schrodinger type by using estimates of the fundamental solution for H. In particular, we show that the operator del (2 )(-Delta + V)(-1) is a Calderon-Zygmund operator.