在无穷测度情形下，利用截断的方法研究泛函不等式的扰动问题，在扩散情形时，得到了关于超Poincare 不等式及本质超Poincare 不等式的扰动的一些结果以及某些应用；在跳过程情形时得到了本质超Poincare 不等式扰动的结果。

In the infnite measure case, perturbations of functional inequalities are studied byusing cut-off arguments. In the diffusion process case, we get some results of superPoincare inequality and the intrinsical super Poincare inequality under perturbations,moreover we show some applications of the results. On the other hand, in the jumpprocess case, we also get the intrinsical super Poincare inequality under perturbations.