Subelliptic Bourgain-Brezis Estimates on Groups

Details Subelliptic Bourgain-Brezis Estimates on Groups Subelliptic Bourgain-Brezis Estimates on Groups

2007-12-21

arxiv.org/abs/0712.3730v2

Math. Res. Lett. 16 (2009), no. 3, 487-501

Mathematics

Analysis of PDEs

15 pages, v2 has some typos fixed in lemma 2.1

Scientific paper

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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