Calculus of Variations and Geometric Measure Theory

S. Lisini

Absolutely continuous curves in extended Wasserstein-Orlicz spaces

created by lisini on 28 Feb 2014
modified on 23 Jun 2016


Accepted Paper

Inserted: 28 feb 2014
Last Updated: 23 jun 2016

Journal: ESAIM: COCV
Year: 2014


In this paper we extend a previous result of the author on the 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). An application to the geodesics of this Wasserstein-Orlicz space is also given.