Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Kahane-Khinchin type averages

Author(s): Omer Friedland
Journal: Proc. Amer. Math. Soc. 136 (2008), 3639-3645.
MSC (2000): Primary 52A20; Secondary 60D05
Posted: May 19, 2008
MathSciNet review: 2415049
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Abstract: We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on $\mathbb{R}^n$ . This is an application of a small ball estimate and Chernoff's method, that has been recently used in the context of Asymptotic Geometric Analysis.

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