引入并研究了由紧的距离空间(K,d)到Mm,n(F)中的Lipschitz-α映射构成的空间L^α(K,Mm,n(F))和尸l^α(K,Mm,n(F));并证明了它们关于范数||f||α=||f||∞+Lα(f)是Lipschitz空间;得到了l^α(K,Mm,n(F))是L^α(K,Mm,n(F))的闭子空间;当0〈α≤β≤1时,L^β(K,Mm,n(F))是L^α(K,Mm,n(F))的闭子空间。
Spaces, L^α(K,Mm,n(F)) and l^α(K,Mm,n(F)), constructed with Lipschitz-α mapped from a compact range space (K, d) to a matrix space Mm,n(F), are introduced and studied. It is proved that both of them are Lipschitz spaces in the norm ||·||α(||f||α=||f||∞+Lα(f)) ; l^α(K,Mm,n(F)) is a closed subspace of L^α(K,Mm,n(F)) ; and if 0〈α≤β≤1, then L^β(K,Mm,n(F)) is a closed subspace of L^α(K,Mm,n(F)).