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Sharp Differentiability Results for the Lower Local Lipschitz Constant and Applications to Non-embedding

Wildrick, K. ; Zürcher, T.

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

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    Titre
    • Sharp Differentiability Results for the Lower Local Lipschitz Constant and Applications to Non-embedding
    Auteur
    • Wildrick, K.. Département de mathématiques, Université de Fribourg, Chemin du Musée 23, 1700, Fribourg, Switzerland
    • Zürcher, T.. Jyväskylän yliopisto, Matematiikan ja tilastotieteen laitos, PL 35 (MaD), 40014, Jyväskylä, Finland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • The Journal of Geometric Analysis, 2015, vol. 25, no. 4, p. 2590-2616. Springer US; http://www.springer-ny.com
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:332130
    Summary
    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.