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Weak Type Estimates for the Noncommutative Vilenkin-Fourier Series
被引:3
作者
:
Scheckter, Thomas Tzvi
论文数:
0
引用数:
0
h-index:
0
机构:
Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
Scheckter, Thomas Tzvi
[
1
]
Sukochev, Fedor
论文数:
0
引用数:
0
h-index:
0
机构:
Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
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.
引用
收藏
页数:19
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