扩散半群关于Lipschitz常数的压缩性

CONTRACTION OF DIFFUSION SEMIGROUP WITH RESPECT TO LIPSCHITZ CONSTANT

使用耦合方法研究扩散半群关于Ｌｉｐｓｃｈｉｔｚ常数的压缩性，所获结果广于Ｈｅｒｂｓｔ和Ｐｉｔｔ的相应定理，并在一些简单情形优于他们的估计。

The contraction of diffusion semigroup with respect to Lipschitz constant is studied by using coupling. The results are more general than the corresponding theorem proved by Herbst and Pitt. Moreover, the resulting estimate of contraction constant improves the previous one for some simple cases.