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

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.

preprint2012arXivOpen access
Valentino MagnaniTapio Rajala
math.MGmath.FA
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Valentino MagnaniTapio Rajala

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