豫解核对应的狄氏型是拟正则的一个充分必要条件

A NECESSARY AND SUFFICIENT CONDITION FOR THE QUASI-REGULAR DIRICHLET FORM DETERMINED BY A RESOLVENT KERNEL

本文考查了豫解核所对应的狄氏型在什么情况下是拟正则的．得到了一个充分必要条件．利用这一结果，我们减弱了文献[6]中主要定理的条件．

Given a family of resolveal kernels on a Lusin measurable space, we prove that under the suitable condition there exists a topology on the measurable space such that the Dirichlet form associated with the resolvent kernels is quasi-regular. We prove that our condition is also necessary.