TY - JOUR
T1 - Absolute Lipschitz extendability
AU - Lee, James R.
AU - Naor, Assar
N1 - Funding Information:
E-mail addresses: [email protected] (J.R. Lee), [email protected] (A. Naor). 1 The first author was partially supported by NSF grant CCR-0121555 and an NSF Graduate Research Fellowship.
PY - 2004/6/1
Y1 - 2004/6/1
N2 - A metric space X is said to be absolutely Lipschitz extendable if every Lipschitz function f from X into any Banach space Z can be extended to any containing space Y X, where the loss in the Lipschitz constant in the extension is independent of Y, Z, and f. We show that various classes of natural metric spaces are absolutely Lipschitz extendable.
AB - A metric space X is said to be absolutely Lipschitz extendable if every Lipschitz function f from X into any Banach space Z can be extended to any containing space Y X, where the loss in the Lipschitz constant in the extension is independent of Y, Z, and f. We show that various classes of natural metric spaces are absolutely Lipschitz extendable.
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U2 - 10.1016/j.crma.2004.03.005
DO - 10.1016/j.crma.2004.03.005
M3 - Article
AN - SCOPUS:2342442684
SN - 1631-073X
VL - 338
SP - 859
EP - 862
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 11
ER -