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

Artsrun Sargsyan; Martin Grigoryan

arxiv: 1701.05776 · v1 · pith:5CCWPEVWnew · submitted 2017-01-20 · 🧮 math.FA

Universal function for a weighted space L¹_u[0,1]

Artsrun Sargsyan , Martin Grigoryan This is my paper

classification 🧮 math.FA

keywords functionspaceuniversalweightedcoefficientsexistfourier-walshrespect

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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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Universal function for a weighted space L¹_u[0,1]

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