hh-transforms of Positivity Preserving Semigroups and Associated Markov Processes  

作　　者：Xin Fang HAN Zhi-Ming MA Wei SUN 

机构地区：[1]School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, P. R. China [2]Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100190, P. R. China [3]Department of Mathematics and Statistics, Concordia University, Montreal H3G 1M8, Canada

出　　处：《Acta Mathematica Sinica,English Series》2011年第2期369-376,共8页数学学报（英文版）

摘　　要：The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-associated with a pair of special standard processes which are in weak duality.The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-associated with a pair of special standard processes which are in weak duality.

关 键 词：hh-transform positivity preserving semigroup positivity preserving coercive form Markov process weak duality 

分 类 号：O152.7[理学—数学] TN86[理学—基础数学]