Martin Grigoryan

Universal Walsh Series with Monotone Coefficients in Weighted Lp Spaces

Martin Grigoryan & Zaruhi Davtyan · Journal of Advances in Mathematics and Computer Science · 2015

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 f...