On quasi universal Walsh series in L^p_[0,1] p in [1, 2] (L^p_[0,1] p in [1, 2]-ում Ուոլշի քվազիունիվերսալ շարքեր)

Համառոտագիր

Let the sequence {ak} ∞ k=1 , ak & 0 with {ak} ∞ k=1 ∈/ l2, and Walsh system {Wk(x)} ∞ k=0 be given. Then for any ε > 0 there exists a measurable set E ⊂ [0,1] with measure |E| > 1 − ε and numbers δk = ±1,0 such that for any p ∈ [1,2] and each function f(x) ∈ L p (E) there exists a rearrangement