扩展Wasserstein-Orlicz空间中的Absolutely continuous曲线
Absolutely continuous curves in extended Wasserstein-Orlicz spaces
摘要：
本文将作者[Lis 07]关于Wasserstein空间中绝对连续曲线的特征的一个结果推广到更一般的一类空间：在扩展的Polish空间（一般不可分）上构造的具有Wasserstein-Orlicz距离的概率测度的空间，最近在[AGS 14]中讨论过.最后给出了Wasserstein-Orlicz空间在测地线上的一个应用。
英文摘要：
In this paper we extend a previous result of the author [Lis07] of characterization of absolutely continuous curves in Wasserstein spaces to a more general class of spaces: the spaces of probability measures endowed with the Wasserstein-Orlicz distance constructed on extended Polish spaces (in general non separable), recently considered in [AGS14]. An application to the geodesics of this Wasserstein-Orlicz space is also given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
