广义狄氏型的符号光滑测度扰动及其结合的马氏过程

On Perturbation of Generalized Dirichlet Forms by Singed Smooth Measures and the Associated Nice Markov Processes

该文研究一类符号光滑测度对广义狄氏型的扰动及其结合的马氏过程.证明了扰动后的二次型是广义狄氏型,并且在给定条件下,得到扰动型结合一好的特殊标准马氏过程.

This paper studies the perturbationsε^μof the generalized Dirichlet formεby some signed smooth measures and the associated Markov processes.It proves that the perturbations are also generalized Dirichlet forms and associated with＂nice＂Markov processes under some conditions.