Higher order Whitney extension and Lusin approximation for Horizontal curves in the Heisenberg group

Andrea Pinamonti, Gareth Speight, Scott Zimmerman

In the setting of horizontal curves in the Heisenberg group, we prove a $C^{m,\omega }$ finiteness principle, a $C^{m,\omega }$ Lusin approximation result, a $C^{\infty }$ Whitney extension res…