29 citations · 43 across the 21 of their papers we have counts for
12 papers · 1 filter
Universal Differentiability Sets in Laakso Space
Sylvester Eriksson-Bique, Andrea Pinamonti, Gareth Speight
We show that there exists a family of mutually singular doubling measures on Laakso space with respect to which real-valued Lipschitz functions are almost everywhere differentiable…
Maximal Directional Derivatives in Laakso Space
Marco Capolli, Andrea Pinamonti, Gareth Speight
We investigate the connection between maximal directional derivatives and differentiability for Lipschitz functions defined on Laakso space. We show that maximality of a directiona…
A C^k Lusin Approximation Theorem For Real-Valued Functions on Carnot Groups
Marco Capolli, Andrea Pinamonti, Gareth Speight
We study the Lusin approximation problem for real-valued measurable functions on Carnot groups. We prove that k-approximate differentiability almost everywhere is equivalent to adm…
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…
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…
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…