Brascamp, Herm Jan; Lieb, Elliott H. Best constants in Young’s inequality, its converse, and its generalization to more than three functions. (English) Zbl 0339.26020 Adv. Math. 20, 151-173 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 170 Documents MSC: 26D15 Inequalities for sums, series and integrals 44A35 Convolution as an integral transform 47A30 Norms (inequalities, more than one norm, etc.) of linear operators PDFBibTeX XMLCite \textit{H. J. Brascamp} and \textit{E. H. Lieb}, Adv. Math. 20, 151--173 (1976; Zbl 0339.26020) Full Text: DOI References: [1] Beckner, W., Inequalities in Fourier analysis, Ann. of Math., 102, 159-182 (1975) · Zbl 0338.42017 [2] Leindler, L., On a certain converse of Hölder’s inequality, (Linear Operators and Approximation. Linear Operators and Approximation, Proceedings of the 1971 Oberwolfach Conference (1972), Birkhäuser Verlag: Birkhäuser Verlag Basel-Stuttgart) · Zbl 0256.26015 [3] Prékopa, A., Logarithmic concave measures with application to stochastic programming, Acta Sci. Math. Szeged, 32, 301-315 (1971) · Zbl 0235.90044 [4] Leindler, L., On a certain converse of Hölder’s inequality. II, Acta Sci. Math. Szeged, 33, 217-223 (1972) · Zbl 0245.26011 [5] Prékopa, A., On logarithmic measures and functions, Acta Sci. Math. Szeged, 34, 335-343 (1973) · Zbl 0264.90038 [6] Hardy, G. E.; Littlewood, J. E.; Pólya, G., Inequalities (1952), Cambridge University Press: Cambridge University Press London and New York · Zbl 0047.05302 [7] Riesz, F., Sur une Inéqualité Intégrale, J. L.M.S., 5, 162-168 (1930) · JFM 56.0232.02 [8] Amer. Math. Soc. Transl., 34, 2, 39-68 (1963) · Zbl 0131.11501 [9] Brascamp, H. J.; Lieb, E. H.; Luttinger, J. M., A general rearrangement inequality for multiple integrals, J. Funct. Anal., 17, 227-237 (1974) · Zbl 0286.26005 [10] Chernoff, P. R., Advanced problems and solutions, Amer. Math. Monthly, 81, 1038-1039 (1974) [11] Rinott, Y., Thesis (1973), Tel Aviv [12] Brascamp, H. J.; Lieb, E. H., Some inequalities for Gaussian measures and the long range order of the one-dimensional plasma, (Arthurs, A. M., Functional Integration and Its Applications (1975), Clarendon: Clarendon Oxford) · Zbl 0348.26011 [13] Nelson, E., The free Markoff field, J. Funct. Anal., 12, 211-227 (1973) · Zbl 0273.60079 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.