A remark on the multipliers of the Haar basis of L¹[0,1]

H. M. Wark. "A remark on the multipliers of the Haar basis of L¹[0,1]." Studia Mathematica 227.2 (2015): 141-148. <http://eudml.org/doc/285386>.

@article{H2015,
abstract = {A proof of a necessary and sufficient condition for a sequence to be a multiplier of the normalized Haar basis of L¹[0,1] is given. This proof depends only on the most elementary properties of this system and is an alternative proof to that recently found by Semenov & Uksusov (2012). Additionally, representations are given, which use stochastic processes, of this multiplier norm and of related multiplier norms.},
author = {H. M. Wark},
journal = {Studia Mathematica},
keywords = {Haar basis; multiplier},
language = {eng},
number = {2},
pages = {141-148},
title = {A remark on the multipliers of the Haar basis of L¹[0,1]},
url = {http://eudml.org/doc/285386},
volume = {227},
year = {2015},
}

TY - JOUR
AU - H. M. Wark
TI - A remark on the multipliers of the Haar basis of L¹[0,1]
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 2
SP - 141
EP - 148
AB - A proof of a necessary and sufficient condition for a sequence to be a multiplier of the normalized Haar basis of L¹[0,1] is given. This proof depends only on the most elementary properties of this system and is an alternative proof to that recently found by Semenov & Uksusov (2012). Additionally, representations are given, which use stochastic processes, of this multiplier norm and of related multiplier norms.
LA - eng
KW - Haar basis; multiplier
UR - http://eudml.org/doc/285386
ER -