Geodesic
A subelliptic Bourgain–Brezis inequality
Journal of the European Mathematical Society, Tome 16 (2014) no. 4, pp. 649-693

Voir la notice de l'article provenant de la source EMS Press

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. We then use this to obtain a Gagliardo–Nirenberg inequality for ∂ˉb​ on the Heisenberg group Hn.
DOI : 10.4171/jems/443
Classification : 35-XX, 00-XX, 42-XX
Keywords: Div-curl, compensation phenomena, critical Sobolev embedding, homogeneous groups 
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     author = {Yi Wang and Po-Lam Yung},
     title = {A subelliptic {Bourgain{\textendash}Brezis} inequality},
     journal = {Journal of the European Mathematical Society},
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     volume = {16},
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Yi Wang; Po-Lam Yung. A subelliptic Bourgain–Brezis inequality. Journal of the European Mathematical Society, Tome 16 (2014) no. 4, pp. 649-693. doi: 10.4171/jems/443

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