This is an announcement for the paper "The symmetric property tau for the Gaussian measure" by Joseph Lehec.

Abstract: We give a proof based on the Poincar'e inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santal'o inequality, as explained in a paper by Artstein, Klartag and Milman.

Archive classification: math.FA

Mathematics Subject Classification: 60D05 (28A75 52A39 52A40)

Citation: Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 2, 357–370

Remarks: 10 pages, file might be slightly different from the published version

Submitted from: lehec@ceremade.dauphine.fr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1011.2142

or

http://arXiv.org/abs/1011.2142