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

作　　者：昌志华[1] 

机构地区：[1]华南理工大学应用数学系

出　　处：《华南理工大学学报（自然科学版）》1997年第2期97-100,共4页Journal of South China University of Technology(Natural Science Edition)

基　　金：华南理工大学科学基金资助

摘　　要：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 .

关 键 词：拟正则狄氏型 光滑测度 连续可加泛函 具有有限能量积分的测度 

分 类 号：O174.22[理学—数学] O211[理学—基础数学]