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Variations on a Proof of a Borderline Bourgain-Brezis Sobolev Embedding Theorem |
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| Authors: | Sagun CHANILLO Jean VAN SCHAFTINGEN Po-Lam YUNG |
| Affiliation: | 1. Department of Mathematics Rutgers, the State University of New Jersey 110 Frelinghuysen Road Piscataway, NJ 08854, USA;2. Institut de Recherche en Mathématique et en Physique, Université catholique de Louvain Chemin du Cyclotron 2 bte L7.01.01, 1348 Louvain-la-Neuve, Belgium;3. Department of Mathematics, the Chinese University of Hong Kong, Shatin, Hong Kong |
| Abstract: | This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on R~n. The authors use this idea to extend the result to real hyperbolic spaces H~n. |
| Keywords: | Bourgain-Brezis inequalities Divergence-free vector fields Sobolev inequalities Real hyperbolic space |
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