On the non-equivalence of rearranged Walsh and trigonometric systems in $L_p$

Aicke Hinrichs, and Jörg Wenzel. "On the non-equivalence of rearranged Walsh and trigonometric systems in $L_{p}$." Studia Mathematica 159.3 (2003): 435-451. <http://eudml.org/doc/285128>.

@article{AickeHinrichs2003,
abstract = {We consider the question of 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.},
author = {Aicke Hinrichs, Jörg Wenzel},
journal = {Studia Mathematica},
keywords = {Walsh series; trigonometric series; equivalence of bases; rearrangements of bases},
language = {eng},
number = {3},
pages = {435-451},
title = {On the non-equivalence of rearranged Walsh and trigonometric systems in $L_\{p\}$},
url = {http://eudml.org/doc/285128},
volume = {159},
year = {2003},
}

TY - JOUR
AU - Aicke Hinrichs
AU - Jörg Wenzel
TI - On the non-equivalence of rearranged Walsh and trigonometric systems in $L_{p}$
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 3
SP - 435
EP - 451
AB - We consider the question of 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.
LA - eng
KW - Walsh series; trigonometric series; equivalence of bases; rearrangements of bases
UR - http://eudml.org/doc/285128
ER -