Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces

Marek Cúth, Ondřej F. K. Kalenda, Petr Kaplický

Let $E$ be a finite-dimensional normed space and $\Omega$ a nonempty convex open set in $E$. We show that the Lipschitz-free space of $\Omega$ is canonically isometric to the quotient of $L^…