Maximal operator for multilinear Calderon-Zygmund singular integral operators on weighted Hardy spaces

被引：13

作者：

Li, Wenjuan ^{[1
]}

Xue, Qingying ^{[1
,2
]}

Yabuta, Kozo ^{[3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Kwansei Gakuin Univ, Math Sci Res Ctr, Sanda 6691337, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 02期

基金：

日本学术振兴会; 北京市自然科学基金;

关键词：

Multiple weights; Weighted norm inequalities; Multilinear Calderon-Zygmund operators; Weighted Hardy spaces; Coltlar's inequality; INEQUALITIES;

D O I：

10.1016/j.jmaa.2010.07.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the maximal operator associated with multilinear Calderon-Zygmund singular integral operators will be studied by using an improved Coltlar's inequality. Moreover, weighted norm inequalities and some estimates on weighted Hardy spaces are obtained for this maximal operator. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：384 / 392

页数：9

共 50 条

[1] Multilinear Calderon-Zygmund operators on weighted Hardy spaces
Li, Wenjuan
Xue, Qingying
Yabuta, Kozo
STUDIA MATHEMATICA, 2010, 199 (01) : 1 - 16
[2] The commutators of multilinear Calderon-Zygmund operators on weighted Hardy spaces
Han, Yanyan
Wen, Yongming
Wu, Huoxiong
Xue, Qingying
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2024, 154 (04) : 1259 - 1280
[3] MULTILINEAR FRACTIONAL CALDERON-ZYGMUND OPERATORS ON WEIGHTED HARDY SPACES
Cruz-Uribe, David
Moen, Kabe
Hanh Van Nguyen
HOUSTON JOURNAL OF MATHEMATICS, 2019, 45 (03): : 853 - 871
[4] Boundedness of maximal operator for multilinear Calderon-Zygmund operators on products of variable Hardy spaces
Tan, Jian
KYOTO JOURNAL OF MATHEMATICS, 2020, 60 (02) : 561 - 574
[5] THE BOUNDEDNESS OF MULTILINEAR CALDERON-ZYGMUND OPERATORS ON WEIGHTED AND VARIABLE HARDY SPACES
Cruz-Uribe, David
Moen, Kabe
Hanh Van Nguyen
PUBLICACIONS MATEMATIQUES, 2019, 63 (02) : 679 - 713
[6] THE CONTINUITY OF MULTILINEAR SINGULAR INTEGRAL OPERATORS WITH VARIABLE CALDERON-ZYGMUND KERNEL ON HARDY AND HERZ SPACES
Liu Lanzhe
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2005, 2 : 156 - 166
[7] Multilinear Calderon-Zygmund operators on Hardy spaces, II
Grafakos, Loukas
He, Danqing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 416 (02) : 511 - 521
[8] Calderon-Zygmund Operators on Weighted Hardy Spaces
Lee, Ming-Yi
POTENTIAL ANALYSIS, 2013, 38 (03) : 699 - 709
[9] Weighted boundedness of multilinear operator associated to singular integral operator with variable Calderon-Zygmund Kernel
Tan, Yanxiang
Liu, Lanzhe
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (04) : 931 - 946
[10] On weighted compactness of commutators of bilinear maximal Calderon-Zygmund singular integral operators
Wang, Shifen
Xue, Qingying
FORUM MATHEMATICUM, 2022, 34 (02) : 307 - 322

← 1 2 3 4 5 →