Subelliptic Bourgain-Brezis Estimates on Groups
Analysis of PDEs
2018-08-22 v2 Complex Variables
Abstract
We show that divergence free vector fields which belong to L^1 on stratified, nilpotent groups are in the dual space of functions whose sub-gradient are L^Q integrable where Q is the homogeneous dimension of the group. This was first obtained on Euclidean space by Bourgain and Brezis.
Cite
@article{arxiv.0712.3730,
title = {Subelliptic Bourgain-Brezis Estimates on Groups},
author = {Sagun Chanillo and Jean Van Schaftingen},
journal= {arXiv preprint arXiv:0712.3730},
year = {2018}
}
Comments
15 pages, v2 has some typos fixed in lemma 2.1