The integrable function universal for classes L-p[0, 1], p is an element of (0, 1) with respect to theWalsh system is constructed in terms of signs. The Fourier-Walsh series of this function converges everywhere in (0, 1) and in the metrics L-p[0, 1], p is an element of (0, 1), and its Fourier coefficients by the Walsh system are in decreasing order. After selecting the appropriate signs for its Fourier coefficients, the newly obtained series will be universal with respect to permutations in L-p[0, 1], p is an element of (0, 1).
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