Maximum modulus of random polynomials

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Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators (2013, background): “sk,q,...,q θ k ≤ Ym k=1 (Cq(Y)Ks k,2) m−kC Y,k θ k A particular case of Kahane’s inequality is Khintchine’s inequality: if (εi) is a sequence of independent Rademacher variables, then, for any p∈ [1,2], there exists a constant AR,p such that, for any n≥ 1 and any a1 ...,an∈ R, Xn i=1 |ai|2 ! 1 2 ≤ ”