Seminario del 2016

Maggio
30
2016
Andrea Pinamonti
Porosity, Differentiability and Pansu's Theorem
analisi matematica
We use porosity to study differentiability of Lipschitz maps on Carnot groups. Our first result states that directional derivatives of a Lipschitz function act linearly outside a σ-porous set. The second result states that irregular points of a Lipschitz function form a σ-porous set. We use these observations to give a new proof of Pansu's theorem for Lipschitz maps from a general Carnot group to a Euclidean space. Joint work with Gareth Speight (University of Cincinnati).
organizzato da: Fausto Ferrari

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