Abstract
We derive two-sided bounds for moments of random multi-linear forms (random chaoses) with nonnegative coefficients generated by independent nonnegative random variables Xi which satisfy the following condition on the growth of moments: ‖Xi‖2p≤A‖Xi‖p for any i and p≥1. The estimates are deterministic and exact up to multiplicative constants which depend only on the order of chaos and the constant A in the moment assumption.
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