Absolutely continuous curves in extended Wasserstein-Orlicz spaces
Metric Geometry
2014-03-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1402.7328,
title = {Absolutely continuous curves in extended Wasserstein-Orlicz spaces},
author = {Stefano Lisini},
journal= {arXiv preprint arXiv:1402.7328},
year = {2014}
}
Comments
22 pages