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

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

2012-01-16

arxiv.org/abs/1201.3201v1

Mathematics

Functional Analysis

23 pages, 1 figure

Scientific paper

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.

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