Wavelet Characterizations of Operator-Valued Hardy Spaces

被引：1
|
作者：
Hong, Guixiang [1 ]
Wang, Wenhua [1 ]
Wu, Xinfeng [2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 16期
基金：
中国国家自然科学基金;
关键词：
NONCOMMUTATIVE KHINTCHINE; INEQUALITIES;
D O I：
10.1093/imrn/rnac213
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M be a von Neumann algebra equipped with a normal semifinite faithful trace tau, and H-p (R, M)(1 <= p <= infinity) be the operator-valued Hardy spaces introduced by Tao Mei. In this paper, we characterize the operator-valued column Hardy space H-p(c)(R, M)(1 <= p <= infinity) by using several square functions involving wavelets, which corresponds to Meyer's wavelet characterizations of the classical Hardy space when p = 1.
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页码：13978 / 14005
页数：28
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