2 citations · 2 across the 5 of their papers we have counts for
5 papers
On higher order Morrey's inequalities over RCD{\boldmath}-spaces
Jun Kitagawa, Kazuhiro Kuwae
In this paper, we establish a higher order Morrey's inequality in the framework of %non-collapsed -spaces for and . We do so by…
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance
F. -U. Caja-Lopez, Matias G. Delgadino, Jun Kitagawa
We establish several quantitative stability estimates for optimal transport maps between non-degenerate densities on uniformly convex domains for the quadratic cost. Under Hölder r…
Conditions for existence of single valued optimal transport maps on convex boundaries with nontwisted cost
Seonghyeon Jeong, Jun Kitagawa
We prove that if is a (not necessarily strictly) convex, domain, and and are probability measures absolutely continuous with respect t…
Equal area partitions of the sphere with diameter bounds, via optimal transport
Jun Kitagawa, Asuka Takatsu
We prove existence of equal area partitions of the unit sphere via optimal transport methods, accompanied by diameter bounds written in terms of Monge--Kantorovich distances. This…
A parabolic flow toward solutions of the optimal transportation problem on domains with boundary
Jun Kitagawa
We consider a parabolic version of the mass transport problem, and show that it converges to a solution of the original mass transport problem under suitable conditions on the cost…