Boundedness of singular integrals on $C^{1,\alpha }$ intrinsic graphs in the Heisenberg group

Vasileios Chousionis, Katrin Fässler, Tuomas Orponen

We study singular integral operators induced by $3$-dimensional Calderón-Zygmund kernels in the Heisenberg group. We show that if such an operator is $L^2$ bounded on vertical pl…