On the universal function for weighted spaces L^p_u[0,1], p>=1
Classical Analysis and ODEs
2018-02-21 v3 Functional Analysis
Abstract
In the paper it is shown that there exist a function g from L1[0,1] and a weight function 0<u(x)<=1, so that g is universal for each classes L^p_u[0,1], p>= 1 with respect to signs-subseries of its Fourier-Walsh series.
Keywords
Cite
@article{arxiv.1512.07786,
title = {On the universal function for weighted spaces L^p_u[0,1], p>=1},
author = {Martin Grigoryan and Tigran Grigoryan and Artsrun Sargsyan},
journal= {arXiv preprint arXiv:1512.07786},
year = {2018}
}