Local Gagliardo–Nirenberg Estimates for Elliptic Systems of Vector Fields
Jorge Hounie, Tiago Picon · Mathematical Research Letters · 2011
We extend the global L 1 estimates proved by Bourgain and Brezis and Lanzani and Stein for the de Rham complex on R 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.