Calculus of Variations and Geometric Measure Theory

L. Ambrosio - E. Durand-Cartagena

Metric differentiability of Lipschitz maps defined on Wiener spaces

created by ambrosio on 09 Dec 2008
modified by durandcar on 14 Oct 2010


Published Paper

Inserted: 9 dec 2008
Last Updated: 14 oct 2010

Journal: Rend. Circ. Mat. Palermo
Volume: 2
Number: 58
Pages: 1-10
Year: 2009


We consider Lipschitz maps, along the Cameron-Martin directions, defined on Wiener spaces and with values in metric spaces. Adapting to this context the approach developed by the first author and Bernd Kirchheim we prove a metric and a weak differentiability result for this class of maps.

Keywords: Metric differentiability, Wiener spaces