Subelliptic bourgain-brezis estimates on groups

Sagun Chanillo, Jean VanSchaftingen

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We show that divergence-free L1 vector fields on a nilpotent homogeneous group of homogeneous dimension Q are in the dual space of functions whose gradient is in LQ. This was previously obtained on R n by Bourgain and Brezis.

Original languageEnglish (US)
Pages (from-to)487-501
Number of pages15
JournalMathematical Research Letters
Issue number3
StatePublished - May 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • Critical sobolev space
  • Divergence-free vector field
  • Nilpotent homogeneous group
  • Sobolev-slobodetski?̌ spaces
  • Stratified lie algebra
  • Subelliptic estimates


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