BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups
Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that B\Z can be decomposed into a controlled number of pieces, the restriction of f on each of which is quantitat...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-09-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.1515/agms-2015-0014 |