Cohomology of annuli, duality and $L^{\infty }$-differential forms on Heisenberg groups

Annalisa Baldi, Bruno Franchi, Pierre Pansu

In the last few years the authors proved Poincaré and Sobolev type inequalities in Heisenberg groups ${\mathbb{H}}^n$ for differential forms in the Rumin's complex. The need to subst…