对应于光滑测度的可加泛函的位势测度

THE POTENTIAL MEASURES OF THE ADDITIVE FUNCTIONALS CORRESPONDING WITH THE SMOOTH MEASURES

设μ是拟正则狄氏型的光滑测度，Ａμ是其对应的非负连续可加泛函，ＵαＡμ是Ａμ的α位势算子，本文证明了测度μＵαＡμ关于μ的绝对连续性，并以Ｒ－Ｎ导数ｄμＵαＡμｄμ刻划了μ具有有限能量积分的条件。

Let μ be a smooth measure with a quasi regular Dirichlet form, A μ be its non negative additive functional,and U α A μ be the α Potential operator of A μ.We can prove the absolute continuity of μ U α A μ with respect to μ which has the condition of a finite energy integral described by the Rodon Nikodym derivative d μU α A μ d μ .