  Let $L=-\Delta+V$ be a Schr\"{o}dinger operator, where $\Delta $ is the
Laplacian operator on $\rz$, while nonnegative potential $V$ belongs to the
reverse H\"{o}lder class. In this paper, we establish the weighted norm
inequalities for some Schr\"odinger type operators, which include Riesz
transforms and fractional integrals and their commutators. These results
generalize substantially some well-known results.
