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arXiv · 0712.3730

Subelliptic Bourgain-Brezis Estimates on Groups

Sagun Chanillo·Jean Van Schaftingen
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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.

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Sagun Chanillo, Jean Van Schaftingen. 2008-03-10. Subelliptic Bourgain-Brezis Estimates on Groups. https://doi.org/10.4310/mrl.2009.v16.n3.a9

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