JournalsrmiVol. 35, No. 3pp. 643–692

Gaffney–Friedrichs inequality for differential forms on Heisenberg groups

  • Bruno Franchi

    Università di Bologna, Italy

  • Francescopaolo Montefalcone

    Università degli Studi di Padova, Italy

  • Elena Serra

    Università di Bologna, Italy
Gaffney–Friedrichs inequality for differential forms on Heisenberg groups cover
Download PDF

A subscription is required to access this article.

Abstract

In this paper, we will prove several generalized versions, dependent on different boundary conditions, of the classical Gaffney–Friedrichs inequality for differential forms on Heisenberg groups. In the first part of the paper, we will consider horizontal differential forms and the horizontal differential. In the second part, we shall prove the counterpart of these results in the context of Rumin’s complex.

Cite this article

Bruno Franchi, Francescopaolo Montefalcone, Elena Serra, Gaffney–Friedrichs inequality for differential forms on Heisenberg groups. Rev. Mat. Iberoam. 35 (2019), no. 3, pp. 643–692

DOI 10.4171/RMI/1065