On the Non-Equivalence of Rearranged Walsh and Trigonometric Systems in L_p
Functional Analysis
2007-05-23 v1
Abstract
We consider the question whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in L_p for some p<>2. We show that this question is closely related to a combinatorial problem. This enables us to prove non-equivalence for a number of rearrangements. Previously this was known for the Walsh-Paley order only.
Keywords
Cite
@article{arxiv.math/0308091,
title = {On the Non-Equivalence of Rearranged Walsh and Trigonometric Systems in L_p},
author = {Aicke Hinrichs and Jörg Wenzel},
journal= {arXiv preprint arXiv:math/0308091},
year = {2007}
}
Comments
18 pages, to be published in Stud. Math