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Sharp differentiability results for lip (1208.2133v3)
Published 10 Aug 2012 in math.MG and math.CA
Abstract: We give a sharp condition on the lower local Lipschitz constant of a mapping from a metric space supporting a Poincar\'e inequality to a Banach space with the Radon-Nikodym property that guarantees differentiability at almost every point. We apply these results to obtain a non-embedding theorem for a corresponding class of mappings.
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