A remark on almost extensions of lipschitz functions
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We present a simpler proof of a result of J. Bourgain on almost extensions of functions satisfying a Lipschitz condition onδ-nets.
KeywordsLebesgue Measure Normed Space Convex Subset Indicator Function LIPSCHITZ Function
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- [B]J. Bourgain,Remarks on the extension of Lipschitz maps defined on discrete sets and uniform homeomorphisms, inGeometrical Aspects of Functional Analysis (J. Lindenstrauss and V. D. Milman, eds.), Proceedings of the GAFA Seminar, 1985–86, Lecture Notes in Mathematics, Vol. 1267, Springer-Verlag, Berlin, 1987, pp. 157–167.CrossRefGoogle Scholar
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