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math.MG2026
On higher order Morrey's inequalities over CD{\boldmath}-spaces
Jun Kitagawa, Kazuhiro Kuwae
In this paper, we establish a higher order Morrey's inequality in the framework of -spaces for and . We do so by first introducin…
math.AP2026
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…