We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu differential is everywhere surjective.
Francesca Corni (In stampa/Attività in corso). A reverse coarea-type inequality in Carnot groups. ANNALES DE L'INSTITUT FOURIER, _, 1-24.
A reverse coarea-type inequality in Carnot groups
Francesca Corni
In corso di stampa
Abstract
We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu differential is everywhere surjective.File in questo prodotto:
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