Kahane-Khinchin type Averages

Details Kahane-Khinchin type Averages Kahane-Khinchin type Averages

2007-04-21

arxiv.org/abs/0704.2844v2

Mathematics

Functional Analysis

Scientific paper

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 $\R^n$. This is an application of small ball estimate and Chernoff's
method, that has been recently used in the context of Asymptotic Geometric
Analysis in [1], [2].

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