Heat flow and quantitative differentiation
Heat flow and quantitative differentiation
For every Banach space (Y,\|\cdot\|_Y) that admits an equivalent uniformly convex norm we prove that there exists c=c(Y)\in (0,\infty) with the following property. Suppose that n\in \mathbb N and that X is an n -dimensional normed space with unit ball B_X . Then for every 1 -Lipschitz function f:B_X\to Y …