Duality of Lipschitz classes on compact metric spaces

Autor: Popoli, Arturo, Sbordone, Carlo
Zdroj: Journal of Elliptic and Parabolic Equations; 20240101, Issue: Preprints p1-15, 15p
Abstrakt: 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 fsatisfy the “vanishing” property limd(x,y)→0|f(x)-f(y)|d(x,y)=0.We consider characterizations of metric spaces (X,d)for which the completion of the space M(X)of Borel measures on (X,d)is isomorphic to lip(X,d)∗.
Databáze: Supplemental Index