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

被引：5
|
作者：
Wark, H. M.
机构：
[1] 9 Westwood Terrace, South Bank York, North Yorkshire
来源：
STUDIA MATHEMATICA | 2015年 / 227卷 / 02期
关键词：
Haar basis; multiplier; SPACES; SERIES; SYSTEM;
D O I：
10.4064/sm227-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A proof of a necessary and sufficient condition for a sequence to be a multiplier of the normalized Haar basis of L-1[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.
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页码：141 / 148
页数：8
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