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Anisotropic Bourgain--Brezis inequalities

Dmitriy Stolyarov

math.CAarXiv:2608.21135

Abstract

We provide an adjustment of the Hardy--Littlewood--Sobolev inequality for p=1 to the anisotropic setting. Several examples of anisotropic Bourgain--Brezis inequalities are obtained as corollaries of the main theorem.

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