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Best constants in Young’s inequality, its converse, and its generalization to more than three functions. (English) Zbl 0339.26020

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
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[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, () · 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 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] Sobolev, S, On a theorem of functional analysis, Mat. sb. (N.S.), 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, () · Zbl 0348.26011
[13] Nelson, E, The free markoff field, J. funct. anal., 12, 211-227, (1973) · Zbl 0273.60079
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