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.
基金S.Chanillo was partially supported by NSF grant DMS 1201474J.Van Schaftingen was partially supported by the Fonds de la Recherche Scientifique-FNRS+3 种基金P.-L.Yung was partially supported by a Titchmarsh Fellowship at the University of Oxforda junior research fellowship at St.Hilda’s Collegea direct grant for research from the Chinese University of Hong Kong(3132713)an Early Career Grant CUHK24300915 from the Hong Kong Research Grant Council
文摘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.