一类条件超过程的Laplace泛函

The Laplace Functional of a Class of Conditioned Superprocesses

设X 是有界光滑区域D 上具有一般分枝特征的超扩散,并设H 是X 的积性调和函数.给出了X 关于H 的条件过程(即X 的H 变换)的Laplace

LetX be a superdiffusion w ith generalbranching m echanism in a bounded sm ooth dom ain,and let H be a m ultiplictive harm onic function of X.The Laplace function ofthe conditioned superprocessofX aboutH,the H-transform ofX,is given.