Metric differentiability of Lipschitz maps defined on Wiener spaces

被引:1
|
作者
Ambrosio L. [1 ]
Durand-Cartagena E. [2 ]
机构
[1] Classe di Scienze, Scuola Normale Superiore, 56100 Pisa
[2] Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid
关键词
ω*-differentiability; abstract Wiener spaces; H-Lipschitz mappings; metric differentiability;
D O I
10.1007/s12215-009-0001-7
中图分类号
学科分类号
摘要
This note is devoted to the differentiability properties of H-Lipschitz maps defined on abstract Wiener spaces and with values in metric spaces (Y,d Y). We prove the existence γ-a. e. of local seminorms in the Cameron-Martin space which allow to compute the metric derivative of the map. © 2009 Springer-Verlag Italia.
引用
收藏
页码:1 / 10
页数:9
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