Lei E be a Hausdorff topological space and let A(E) be its Borel σ-field.Let m be a σ-finitc measure on (E,A(E)).A necessary and sufficient condition for a Markov resolvent on Lp(E,m ) to be associated with an m-tig...Lei E be a Hausdorff topological space and let A(E) be its Borel σ-field.Let m be a σ-finitc measure on (E,A(E)).A necessary and sufficient condition for a Markov resolvent on Lp(E,m ) to be associated with an m-tight m-special standard process (with state space E) is given.Furthermore some new examples which do not belong to the framework of Dirichlet space are also given.展开更多
基金Project supported by the Youth Foundation of Chinese Academy of Sciences.
文摘Lei E be a Hausdorff topological space and let A(E) be its Borel σ-field.Let m be a σ-finitc measure on (E,A(E)).A necessary and sufficient condition for a Markov resolvent on Lp(E,m ) to be associated with an m-tight m-special standard process (with state space E) is given.Furthermore some new examples which do not belong to the framework of Dirichlet space are also given.
