Weak Type Estimates for the Noncommutative Vilenkin-Fourier Series

被引：3
|
作者：
Scheckter, Thomas Tzvi [1 ]
Sukochev, Fedor [1 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2018年 / 90卷 / 06期
关键词：
Noncommutative martingales; Vilenkin groups; Vilenkin-Fourier series; MARTINGALES;
D O I：
10.1007/s00020-018-2489-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be the separable hyperfinite factor of type II1. We show that for any bounded Vilenkin group, the sequence of partial sums of the corresponding noncommutative Vilenkin-Fourier series is a uniformly bounded family of weak type (1, 1) operators.
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页数：19
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