Lipschitz-free spaces and subsets of finite-dimensional spaces

Abstract

We consider two questions on the geometry of Lipschitz free $p$-spaces $\mathcal F_p$, where $00$, into the Lipschitz free $p$-space $\mathcal F_p (V, |\cdot|_1)$ over their vertices.

Keywords

• Lipschitz free $p$-space
• $\ell_p$ space isomorphism
• Banach-Mazur distance
• doubling metric space
• approximation property