Two-sided bounds for $L_p$-norms of combinations of products of   independent random variables
  We show that for every positive p, the L_p-norm of linear combinations (with scalar or vector coefficients) of products of i.i.d. random variables, whose moduli have a nondegenerate distribution with the p-norm one, is comparable to the l_p-norm of the coefficients and the constants are explicit. As a result the same holds for linear combinations of Riesz products.   We also establish the upper and lower bounds of the L_p-moments of partial sums of perpetuities. 
Ewa Damek, Rafa{\l} Lata{\l}a, Piotr Nayar and Tomasz Tkocz
math.PR