Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets
Magnani, V., & Rajala, T. (2014). Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets. International Mathematics Research Notices, 2014(23), 6399-6430. https://doi.org/10.1093/imrn/rnt171
Published in
International Mathematics Research NoticesDate
2014Copyright
© The Author(s) 2013. This is a final draft version of an article whose final and definitive form has been published by Oxford University Press. Published in this repository with the kind permission of the publisher.
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.
Publisher
Oxford University PressISSN Search the Publication Forum
1073-7928Keywords
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