Radon-Nikodym property and area formula for Banach homogeneous group targets
Functional Analysis
2012-01-17 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.1201.3201,
title = {Radon-Nikodym property and area formula for Banach homogeneous group targets},
author = {Valentino Magnani and Tapio Rajala},
journal= {arXiv preprint arXiv:1201.3201},
year = {2012}
}
Comments
23 pages, 1 figure