Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces

被引：2

作者：

Wen, Yongming ^{[1
]}

Wu, Huoxiong ^{[2
]}

Xue, Qingying ^{[3
,4
]}

机构：

[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[4] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2023年 / 44卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Weighted Hardy spaces; Variable Hardy spaces; Maximal operators; Multilinear Calderon-Zygmund operators; Multiple weights; CALDERON-ZYGMUND OPERATORS; INEQUALITIES; BOUNDEDNESS;

D O I：

10.1007/s11401-023-0022-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors show that the maximal operators of the multilinear Calderon-Zygmund singular integrals are bounded from a product of weighted Hardy spaces into a weighted Lebesgue spaces, which essentially extend and improve the previous known results obtained by Grafakos and Kalton (2001) and Li, Xue and Yabuta (2011). The corresponding estimates on variable Hardy spaces are also established.

引用

页码：391 / 406

页数：16

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