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Artículo
Sharp affine Sobolev type inequalities via the Lp Busemann–Petty centroid inequality
(Elsevier, 2016-07-15)
We show that the Lp Busemann-Petty centroid inequality provides an elementary and powerful tool to the study of some sharp affine functional inequalities with a geometric content, like log-Sobolev, Sobolev and Gagliardo-Nirenberg ...