Mass transport problem and derivation
Tom 26 / 1999
Applicationes Mathematicae 26 (1999), 299-314
DOI: 10.4064/am-26-3-299-314
Streszczenie
A characterization of the transport property is given. New properties for strongly nonatomic probabilities are established. We study the relationship between the nondifferentiability of a real function f and the fact that the probability measure $λ_{f*}:=λ◦(f*)^{-1}$, where f*(x):=(x,f(x)) and λ is the Lebesgue measure, has the transport property.
