transportation cost inequalities on path and loop groups，成果详细信息-凯发网

let g be a connected lie group with the lie algebra £: the action of cameron–martin space h(£) on the path space pe(g) introduced by l. gross (illinois j. math. 36 (1992) 447) is free. using this fact, we define the h-distance on pe(g); which enables us to establish a transportation cost inequality on pe(g): this method will be generalized to the path space over the loop group £e(g), so that we obtain a transportation cost inequality for heat measures on £e(g).