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math.AP2021★ 1 cited
Schwarzians on the Heisenberg group
Tomasz Adamowicz, Ben Warhurst
We study various notions of the Schwarzian derivative for contact mappings in the Heisenberg group and introduce two definitions: (1) the CR Schwarzian derivative ba…
math.AP2019★ 2 cited
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti +1
Let . We provide an asymptotic characterization of continuous viscosity solutions of the normalized -Laplacian in any Carnot group…
math.AP2017★ 1 cited
Mean value property and harmonicity on Carnot-Carathéodory groups
Tomasz Adamowicz, Ben Warhurst
We study strongly harmonic functions in Carnot-Carathéodory groups defined via the mean value property with respect to the Lebesgue measure. For such functions we show their Sobole…