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arXiv · 1701.05776

Universal function for a weighted space L^1_u[0,1]

Artsrun Sargsyan·Martin Grigoryan
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Abstract

It is shown that there exist such a function g from L^1[0,1] and a weight function 0<u(x)<=1 that g is universal for the weighted space L^1_u[0,1] with respect to signs of its Fourier-Walsh coefficients.

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Artsrun Sargsyan, Martin Grigoryan. 2017-01-20. Universal function for a weighted space L^1_u[0,1]. https://arxiv.org/abs/1701.05776

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