Estimativas locais para complexos elíticos

Abstract

In this work, we extend some global L1 estimates proved by Bourgain-Brezis in the case of the de Rham complex on RN to the setup of local L1 estimates for elliptic complexes, namely, those associated to involutive elliptic structures spanned by a family of linearly independent smooth complex vector fields. In particular, we obtain a local version of Gagliardo-Nirenberg estimates for elliptic systems of vector fields.