Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

Wildrick, Kevin; Zürcher, Thomas

doi:10.1007/s12220-014-9527-9

Back

Journal article

Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding

Wildrick, Kevin Département de mathématiques, Université de Fribourg, Switzerland
Zürcher, Thomas Jyväskylän yliopisto, Matematiikan ja tilastotieteen laitos, Jyväskylä, Finland

13.08.2014

Published in:

The Journal of Geometric Analysis. - 2015, vol. 25, no. 4, p. 2590–2616

English 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.

Faculty

Faculté des sciences et de médecine

Department

Département de Mathématiques

Language