Singular integrals on $C^{1,\hat{I}\pm }$ intrinsic graphs in step 2 Carnot groups

Vasileios Chousionis, Sean Li, Lingxiao Zhang

We study singular integral operators induced by Calderón-Zygmund kernels in any step-$2$ Carnot group $\mathbb{G}$. We show that if such an operator satisfies some natural cancell…