Approximation properties and Schauder decompositions in Lipschitz-free   spaces
  We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over $\ell_1^N$ or $\ell_1$ have monotone finite-dimensional Schauder decompositions. 
Gilles Lancien and Eva Pernecka
math.FA