Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495920 | Journal of Functional Analysis | 2005 | 25 Pages |
Abstract
Let G be a connected Lie group with the Lie algebra G. The action of Cameron-Martin space H(G) 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 Le(G), so that we obtain a transportation cost inequality for heat measures on Le(G).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shizan Fang, Jinghai Shao,