Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
25
From page
293
To page
317
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).
Journal title
Journal of Functional Analysis
Serial Year
2005
Journal title
Journal of Functional Analysis
Record number
709451
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