A subelliptic Bourgain-Brezis inequality

Yi Wang, Po Lam Yung

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We prove an approximation lemma on (stratified) homogeneous groups that allows one to approximate a function in the non-isotropic Sobolev space NL 1,Q by L∞ functions, generalizing a result of Bourgain-Brezis [BB2]. We then use this to obtain a Gagliardo-Nirenberg inequality for δb on the Heisenberg group Hn.

Original languageEnglish
Pages (from-to)649-693
Number of pages45
JournalJournal of the European Mathematical Society
Issue number4
Publication statusPublished - 2014
Externally publishedYes


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