Sharp differentiability results for lip

Kevin Wildrick; Thomas Zürcher

Sharp differentiability results for lip

Metric Geometry 2013-05-31 v3 Classical Analysis and ODEs

Authors: Kevin Wildrick , Thomas Zürcher

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.

Keywords

lipschitz spaces banach space properties fixed point in banach spaces

Cite

@article{arxiv.1208.2133,
  title  = {Sharp differentiability results for lip},
  author = {Kevin Wildrick and Thomas Zürcher},
  journal= {arXiv preprint arXiv:1208.2133},
  year   = {2013}
}