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arXiv · 1201.3201

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

Valentino Magnani·Tapio Rajala
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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.

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Valentino Magnani, Tapio Rajala. 2012-01-16. Radon-Nikodym property and area formula for Banach homogeneous group targets. https://arxiv.org/abs/1201.3201

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