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.

引用

页码：13978 / 14005

页数：28

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