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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.FA2014★ 3 cited
Tensorization of Cheeger energies, the space and the area formula for graphs
Luigi Ambrosio, Andrea Pinamonti, Gareth Speight
First we study in detail the tensorization properties of weak gradients in metric measure spaces . Then, we compare potentially different notions of Sobolev space $H^{1,1}…