A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry... View more
 G. Dolzmann and D. Hug, Equality of two representations of extended affine surface area, Arch. Math. (Basel) 65 (1995), no. 4, 352-356. MR 97c:52019
 G. H. Hardy, J. E. Littlewood, and G. P´olya, Inequalities, Cambridge, at the University Press, 1952, 2d ed. MR 13,727e
 Evans M. Harrell, II, A direct proof of a theorem of Blaschke and Lebesgue, J. Geom. Anal. 12 (2002), no. 1, 81-88. MR 1 881 292
 E. Hewitt and K. Stromberg, Real and abstract analysis. A modern treatment of the theory of functions of a real variable, Springer-Verlag, New York, 1965. MR 32 #5826
 L. H¨ormander, The analysis of linear partial differential operators. I, second ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1990, Distribution theory and Fourier analysis.
 Kurt Leichtweiß, Zur Affinoberfl¨ache konvexer K¨orper, Manuscripta Math. 56 (1986), no. 4, 429-464. MR 87k:52011
 E. Lutwak, On the Blaschke-Santal´o inequality, Discrete geometry and convexity (New York, 1982), New York Acad. Sci., New York, 1985, pp. 106-112. MR 87c:52018