K. Ciosmak

activity

20162026

collaborators

Showing 2019Show all

2 papers · 1 filter

math.MG2019

Leaves decompositions in Euclidean spaces and optimal transport of vector measures

Krzysztof J. Ciosmak

For a given $1$ -Lipschitz map $u : R^{n} \to R^{m}$ we define a partition, up to a set of Lebesgue measure zero, of $R^{n}$ into maximal closed convex sets su…

math.FA2019

Continuity of extensions of Lipschitz maps

Krzysztof J. Ciosmak

We establish the sharp rate of continuity of extensions of $R^{m}$ -valued $1$ -Lipschitz maps from a subset $A$ of $R^{n}$ to a $1$ -Lipschitz maps on $R^{n}$ . W…