IUMJ

Title: Area implies coarea

Authors: Valentino Magnani

Issue: Volume 60 (2011), Issue 1, 77-100

Abstract:

We regard one side of the coarea formula as a measure and compute its density by an area-type formula. As an application, we show the first nontrivial example of coarea formula for vector-valued sub-Riemannian Lipschitz mappings.