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2015 | 3 | 1 |

BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups

EN

Abstrakty

EN
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 quantitatively biLipschitz. This extends a result of [14], which proved the same result, but with the restriction that G has an appropriate discretization. We provide an example of a Carnot group not admitting such a discretization.

EN

otrzymano
2015-01-20
zaakceptowano
2015-07-08
online
2015-09-01

Twórcy

autor
• Department of Mathematics, The University of Chicago, Chicago, IL 60637

Bibliografia

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