Sharp differentiability results for lip
arXiv:1208.2133
Abstract
We give a sharp condition on the lower local Lipschitz constant of a mapping from a metric space supporting a Poincaré 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.
24 pages, 1 figure. Version 3 includes applications to non-embedding