Two examples of subspaces in $L^{2l}$ spanned by characters of finite order

Mats Erik Andersson. "Two examples of subspaces in $L^{2l}$ spanned by characters of finite order." Colloquium Mathematicae 87.1 (2001): 13-26. <http://eudml.org/doc/284252>.

@article{MatsErikAndersson2001,
abstract = {By a Fourier multiplier technique on Cantor-like Abelian groups with characters of finite order, the norms from L² into $L^\{2l\}$ of certain embeddings of character sums are computed. It turns out that the orders of the characters are immaterial as soon as they are at least four.},
author = {Mats Erik Andersson},
journal = {Colloquium Mathematicae},
keywords = {multiplier; Khinchin's inequality; character; thin set; Rademacher function},
language = {eng},
number = {1},
pages = {13-26},
title = {Two examples of subspaces in $L^\{2l\}$ spanned by characters of finite order},
url = {http://eudml.org/doc/284252},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Mats Erik Andersson
TI - Two examples of subspaces in $L^{2l}$ spanned by characters of finite order
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 13
EP - 26
AB - By a Fourier multiplier technique on Cantor-like Abelian groups with characters of finite order, the norms from L² into $L^{2l}$ of certain embeddings of character sums are computed. It turns out that the orders of the characters are immaterial as soon as they are at least four.
LA - eng
KW - multiplier; Khinchin's inequality; character; thin set; Rademacher function
UR - http://eudml.org/doc/284252
ER -