Kahane-Khinchin type averages

Friedland, Omer

doi:10.1090/S0002-9939-08-09369-6

Kahane-Khinchin type averages
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Proc. Amer. Math. Soc. 136 (2008), 3639-3645 Request permission

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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