摘要 : Our aim in this article is to contribute to the theory of Lipschitz free p-spaces for 0<p <= 1 over the Euclidean spaces R-d and Z(d). To that end, we show that F-p(R-d) admits a Schauder basis for every p is an element of(0,1], t... 展开 Our aim in this article is to contribute to the theory of Lipschitz free p-spaces for 0<p <= 1 over the Euclidean spaces R-d and Z(d). To that end, we show that F-p(R-d) admits a Schauder basis for every p is an element of(0,1], thus generalizing the corresponding result for the case p=1 by Hajek and Pernecka (J Math Anal Appl 416(2):629-646, 2014, Theorem 3.1) and answering in the positive a question that was raised by Albiac et al. in (J Funct Anal 278(4):108354, 2020). Explicit formulas for the bases of F-p(R-d) and its isomorphic space F-p([0,1](d)) are given. We also show that the well-known fact that F(Z) is isomorphic to l(1) does not extend to the case when p<1, that is, F-p(Z) is not isomorphic to l(p) when 0<p<1. 收起