Article
Sharp affine Sobolev type inequalities via the Lp Busemann–Petty centroid inequality
Author/s | Haddad, Julian
Jiménez Gómez, Carlos Hugo Da Silva Montenegro, Marcos |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2016-07-15 |
Deposit Date | 2016-10-03 |
Published in |
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Abstract | 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 ... 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. |
Project ID. | BJT 064/2013
BEX 6961/14-2 PQ 306406/2013-6 PPM 00223-13 |
Citation | Haddad, J., Jiménez Gómez, C.H. y Da Silva Montenegro, M. (2016). Sharp affine Sobolev type inequalities via the Lp Busemann–Petty centroid inequality. Journal of Functional Analysis, 271 (2), 454-473. |
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