Universal Walsh Series with Monotone Coefficients in Weighted Lp Spaces
Martin Grigoryan, Zaruhi Davtyan
Journal of Advances in Mathematics and Computer Science · pp. 99–108 · Published 3 Feb 2015
10.9734/BJMCS/2015/14246Abstract
For any 0 < δ < 1 there exists a measurable function μ(x), 0 < μ(x) ≤ 1, with | {x ∈ [0, 1]; μ(x) ≠ 1} |< δ, and a series in the Walsh system of the form such that for any p ≥ 1 and any function one can fined subseries of above series converging
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