TY - JOUR
T1 - A proof of Sudakov theorem with strictly convex norms
JF - Mathematische Zeitschrift 268 (2011) 371-407
Y1 - 2011
A1 - Laura Caravenna
AB - We establish a solution to the Monge problem in Rn, with an asymmetric, strictly convex norm cost function, when the initial measure is absolutely continuous. We focus on the strategy, based on disintegration of measures, initially proposed by Sudakov. As known, there is a gap to fill. The missing step is completed when the unit ball is strictly convex, but not necessarily differentiable nor uniformly convex. The key disintegration is achieved following a similar proof for a variational problem.
PB - Springer
UR - http://hdl.handle.net/1963/2967
U1 - 1733
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -