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math.FA2022
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…
math.FA2021
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…