Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality

Autor:	Haddad, Julian, Jimenez, C. Hugo, Montenegro, Marcos
Rok vydání:	2015
Předmět:	Mathematics - Functional Analysis Mathematics - Metric Geometry 46E35 (Primary) 51M16 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 inequalities. Our approach allows also to characterize directly the corresponding equality cases. Comment: 16 pages. Corrected version to appear in Journal of Functional Analysis
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.07763 Zobrazit plný text záznamu View this record from Arxiv