On random multilinear operator inequalities

Details On random multilinear operator inequalities On random multilinear operator inequalities

2011-08-29

arxiv.org/abs/1108.5655v1

Mathematics

Classical Analysis and ODEs

Scientific paper

It is a well known general principle that the Fourier transform of a random measure is small, except at the zero frequency, in various senses for appropriate notions of randomness. In this note we develop analogues of this principle for two classes of random multilinear operators. Two ergodic theoretic applications, involving correlations over randomly generated sparse subsequences, are obtained as corollaries of the main results.

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