DIRICHLET FORMS AND POTENTIAL THEORY OF SYMMETRIC HUNT PROCESSES

摘要

Let （X_l） be an m-symmetric Hunt process associated with a regular Dirichlet form on L2（X; m）. S₀ denotes the family of all Radon measures of finite energy integral. It is shown that μ∈S₀ iff α0 such that μRαm and d（μR_α）/dm∈. We have U_αμ=d（μR_α）/dm if μ∈S₀. As an application, we obtain some criteria for conservativeness of （X_l）.