On a reverse form of the Brascamp-Lieb inequality

Franck Barthe

Type: Article

Publication Date: 1998-10-16

Citations: 323

DOI: https://doi.org/10.1007/s002220050267

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
DataCite API - View
Inventiones mathematicae - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	About the case of equality in the Reverse Brascamp-Lieb inequality	2022	Károly J. Böröczky Pavlos Kalantzopoulos Dongmeng Xi
+	A Continuous Version of the Brascamp-Lieb Inequalities	2004	F. Barthe
+	The Brascamp–Lieb inequalities: recent developments	2007	Anthony Carbery
+	The Case of Equality in Geometric Instances of Barthe’s Reverse Brascamp-Lieb Inequality	2023	Károly J. Böröczky Pavlos Kalantzopoulos Dongmeng Xi
+	The case of equality in geometric instances of Barthe's reverse Brascamp-Lieb inequalit	2022	Károly J. Böröczky Pavlos Kalantzopoulos Dongmeng Xi
+	Brascamp-Lieb inequality for positive double John basis and its reverse	2010	Ai‐Jun Li Gangsong Leng
+ PDF Chat	Kakeya–Brascamp–Lieb inequalities	2019	Pavel Zorin‐Kranich
+	A Variation on Hölder-Brascamp-Lieb Inequalities	2017	Kevin O’Neill
+	A refinement of Brascamp-Lieb-Poincare inequality in one dimension	2013	I. Popescu
+	A refinement of Brascamp-Lieb-Poincare inequality in one dimension	2013	Ionel Popescu
+	Weak Brascamp-Lieb inequalities and an application	2019	Dominique Maldague
+	Optimisers for the Brascamp-Lieb inequality	2008	Stefán Ingi Valdimarsson
+	A generalization of the Buzano inequality	2012	Mohammad Sal Moslehian Maryam Khosravi Roman Drnovšek
+	A generalization of a two triangle inequality.	1987	George Tsintsifas
+	On a generalization of mulholland’s inequality	1993	Janusz Matkowski
+ PDF Chat	BRASCAMP–LIEB INEQUALITY AND QUANTITATIVE VERSIONS OF HELLY'S THEOREM	2016	Silouanos Brazitikos
+	Regularized Brascamp-Lieb inequalities and an application	2019	Dominique Maldague
+ PDF Chat	An Algebraic Brascamp–Lieb Inequality	2021	Jennifer Duncan
+	A Marchaud type inequality	2022	Bustamante Jorge
+	A connection of the Brascamp-Lieb inequality with Skorokhod embedding (確率論シンポジウム : RIMS研究集会報告集)	2014	祐針谷

Works That Cite This (318)

Action	Title	Year	Authors
+	Nonlinear flows and rigidity results on compact manifolds	2014	Jean Dolbeault Maria J. Esteban Michael Loss
+ PDF Chat	Behaviour of the Brascamp–Lieb constant	2017	Jonathan Bennett Neal Bez Michael Cowling Taryn C. Flock
+ PDF Chat	Strengthened volume inequalities for $L_p$ zonoids of even isotropic measures	2017	Károly J. Böröczky Ferenc Fodor Daniel Hug
+ PDF Chat	Strengthened inequalities for the mean width and the ℓ‐norm	2021	Károly J. Böröczky Ferenc Fodor Daniel Hug
+	Estimates for Brascamp-Lieb forms in $L^p$-spaces with power weights	2020	R. M. Brown C. W. Lee Katharine Ott
+	Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds	2016	Aijun Li Dongmeng Xi Gaoyong Zhang
+ PDF Chat	On the volume of projections of the cross-polytope	2021	Grigory Ivanov
+ PDF Chat	On affine invariant and local Loomis–Whitney type inequalities	2020	David Alonso‐Gutiérrez Julio Bernués Silouanos Brazitikos Anthony Carbery
+	On a reverse isoperimetric inequality for relative outer parallel bodies	2020	Eugenia Saorín Gómez Jesús Yepes Nicolás
+	A symmetrization inequality shorn of symmetry	2020	Michael Christ Dominique Maldague

Works Cited by This (16)

Action	Title	Year	Authors
+	Extremum Problems with Inequalities as Subsidiary Conditions	2013	Fritz John
+	Best constants in Young's inequality, its converse, and its generalization to more than three functions	1976	H. J. Brascamp Élliott H. Lieb
+	Gaussian kernels have only Gaussian maximizers	1990	Élliott H. Lieb
+ PDF Chat	Shadows of convex bodies	1991	Keith Ball
+	Existence and uniqueness of monotone measure-preserving maps	1995	Robert J. McCann
+	An extremal property of the mean width of the simplex	1998	Franck Barthe
+ PDF Chat	The regularity of mappings with a convex potential	1992	Luis Caffarelli
+ PDF Chat	Optimal young's inequality and its converse: a simple proof	1998	F. Barthe
+	Inequalities in Fourier Analysis	1975	William Beckner
+ PDF Chat	Volume Ratios and a Reverse Isoperimetric Inequality	1991	Keith Ball