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arXiv:0712.3730 [math.AP]AbstractReferencesReviewsResources

Subelliptic Bourgain-Brezis Estimates on Groups

Sagun Chanillo, Jean Van Schaftingen

Published 2007-12-21, updated 2008-03-10Version 2

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.

Comments: 15 pages, v2 has some typos fixed in lemma 2.1
Journal: Math. Res. Lett. 16 (2009), no. 3, 487-501
Categories: math.AP, math.CV
Subjects: 26D15, 35B65, 35H20, 43A80
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