Radon-Nikodym property and area formula for Banach homogeneous group targets

Magnani Valentino - Rajala Tapio

year: 2012
journal: Int. Math. Res. Notices
abstract: We prove a Rademacher-type theorem for Lipschitz mappings from a subset of a Carnot group to a Banach homogeneous group, equipped with a suitably weakened Radon-Nikodym property. We provide a metric area formula that applies to these mappings and more generally to all almost everywhere metrically differentiable Lipschitz mappings defined on a Carnot group.

The paper is available on the cvgmt preprint server.