Duality of Lipschitz classes on compact metric spaces

摘要

Let (X, d) be a compact metric space and lip(X, d) the closed subspace of the Lipschitz functions space Lip(X, d) whose elements f satisfy the "vanishing" property We consider characterizations of metric spaces (X, d) for which the completion of the space.//7(X) of Borel measures on (X, d) is isomorphic to lip(X, d)*.