Optimisers for the Brascamp-Lieb inequality

Israel Journal of Mathematics

Volumn 168, Issue 1, 2008, Pages 253-274

  Valdimarsson, Stefán Ingi ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 57849114460     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/s11856-008-1067-1     Document Type: Article

References (9)

1. K. Ball, Volumes of sections of cubes and related problems, Geometric aspects of functional analysis (1987-88), Lecture Notes in Math., vol. 1376, Springer, Berlin, 1989, pp. 251-260.
2. F. Barthe 1998 On a reverse form of the Brascamp-Lieb inequality Inventiones Mathimaticae 134 335 361
3. W. Beckner 1975 Inequalities in Fourier analysis Annals of Mathematics. Second Series 102 159 182
4. J. Bennett, A. Carbery, M. Christ, and T. Tao, Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities, Mathematical Research Letters, to appear.
5. J. Bennett A. Carbery M. Christ T. Tao 2008 The Brascamp-Lieb inequalities: finiteness, structure, and extremals Geometric and Functional Analysis 17 1343 1415
6. H. J. Brascamp E. H. Lieb 1976 Best constants in Young's inequality, its converse, and its generalization to more than three functions Advances in Mathematics 20 151 173
7. N and related entropy inequalities The Journal of Geometric Analysis 14 487 520
8. E. H. Lieb 1990 Gaussian kernels have only Gaussian maximizers Inventiones Mathematicae 102 179 208
9. S. I. Valdimarsson, The Brascamp-Lieb polyhedron, 2007, preprint.