English

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

Functional Analysis 2017-01-23 v1

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.

Cite

@article{arxiv.1701.05776,
  title  = {Universal function for a weighted space L^1_u[0,1]},
  author = {Artsrun Sargsyan and Martin Grigoryan},
  journal= {arXiv preprint arXiv:1701.05776},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1512.07786

R2 v1 2026-06-22T17:55:09.517Z