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 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) ∗.
Duality of Lipschitz classes on compact metric spaces / Popoli, A., Sbordone, C.. - In: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS. - ISSN 2296-9020. - 6:1(2020), pp. 55-69. [10.1007/s41808-020-00056-y]
Duality of Lipschitz classes on compact metric spaces
Popoli A.Writing – Review & Editing
;
2020
Abstract
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 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) ∗.File in questo prodotto:
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