Contents Online
Mathematical Research Letters
Volume 18 (2011)
Number 4
Local Gagliardo–Nirenberg Estimates for Elliptic Systems of Vector Fields
Pages: 791 – 804
DOI: https://dx.doi.org/10.4310/MRL.2011.v18.n4.a16
Authors
Abstract
We extend the global $L^1$ estimates proved by Bourgain and Brezis and Lanzani and Stein for the de Rham complex on $\erre^N$ to the setup of local $L^1$ estimates for the differential complex associated to an involutive elliptic structure spanned by a family of linearly independent smooth complex vector fields.
Published 19 August 2011