This is an announcement for the paper “On an identification of the Lipschitz-free spaces over subsets of $R^n$” by Gonzalo Floreshttps://arxiv.org/find/math/1/au:+Flores_G/0/1/0/all/0/1.

Abstract: In this short note, we develop a method for identifying the spaces $Lip_0(U)$ for every nonempty open convex $U$ of $R^n$ and $n\in\mathbb{N}$. Moreover, we show that $\mathbb{F}(U)$ is identified with a quotient of $L_1(U; R^n)$.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1703.04405