22 citations · 80 across the 66 of their papers we have counts for
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math.FA2017
Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step
Andrea Pinamonti, Gareth Speight
We show that every model filiform group contains a measure zero set such that every Lipschitz map is differentiable at s…
math.FA2017
Porosity and Differentiability of Lipschitz Maps from Stratified Groups to Banach Homogeneous Groups
Valentino Magnani, Andrea Pinamonti, Gareth Speight
Let be a Lipschitz map from a subset of a stratified group to a Banach homogeneous group. We show that directional derivatives of act as homogeneous homomorphisms at de…
math.FA2017
Universal differentiability sets and maximal directional derivatives in Carnot groups
Enrico Le Donne, Andrea Pinamonti, Gareth Speight
We show that every Carnot group G of step 2 admits a Hausdorff dimension one `universal differentiability set' N such that every real-valued Lipschitz map on G is Pansu differentia…