Mathematics – Metric Geometry
Scientific paper
2011-11-10
Mathematics
Metric Geometry
10 pages
Scientific paper
The purpose of this note is to point out a simple consequence of some earlier work of the authors, "Hard Sard: Quantitative implicit function and extension theorems for Lipschitz maps". For $f$, a Lipschitz function from a Euclidean space into a metric space, we give quantitative estimates for how often the pullback of the metric under $f$ is approximately a seminorm. This is a quantitative version of Kirchheim's metric differentiation result from 1994. Our result is in the form of a Carleson-type estimate.
Azzam Jonas
Schul Raanan
No associations
LandOfFree
A Carleson packing condition for metric differentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Carleson packing condition for metric differentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Carleson packing condition for metric differentials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-728014