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
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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
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 258355
- DOI 10.1007/s12220-014-9527-9
- Persistent URL
- https://folia.unifr.ch/unifr/documents/304813
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