A subelliptic Bourgain-Brezis inequality
Abstract
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.
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Journal of the European Mathematical Society
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