WEIGHTED INEQUALITIES FOR THE MULTILINEAR HILBERT AND CALDERON OPERATORS AND APPLICATIONS

被引：1

作者：

Garcia Garcia, Victor ^{[1
]}

Ortega Salvador, Pedro ^{[1
]}

机构：

[1] Univ Malaga, Anal Matemat, Fac Ciencias, E-29071 Malaga, Spain

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2020年 / 14卷 / 01期

关键词：

Calderon operator; Hilbert inequality; Hilbert operator; multilinear Hardy operators; multilinear singular integrals; multilinear maximal operators; Stieltjes transform; weighted inequalities; weights; SINGULAR-INTEGRALS; HARDY;

D O I：

10.7153/jmi-2020-14-08

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the weighted weak and strong type inequalities for the Hilbert and Calderon multilinear operators. As applications, we characterize a weighted multilinear Hilbert's inequality and extend to the multilinear setting some results on singular integrals due to F. Soria and G. Weiss.

引用

页码：99 / 120

页数：22

共 50 条

[1] Weighted Lebesgue and BMOγ norm inequalities for the Calderon and Hilbert operators
Ferreyra, Elida, V
Flores, Guillermo J.
Viviani, Beatriz E.
[J]. MATHEMATISCHE ZEITSCHRIFT, 2020, 294 (1-2) : 503 - 518
[2] Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multipliers
Bui, The Anh
Duong, Xuan Thinh
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (01): : 63 - 75
[3] Weighted norm inequalities for multilinear Calderon-Zygmund operators in generalized Morrey spaces
Wang, Panwang
Liu, Zongguang
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[4] Weighted norm inequalities for multilinear singular integral operators and applications
Hu, Guoen
Lin, Chin-Cheng
[J]. ANALYSIS AND APPLICATIONS, 2014, 12 (03) : 269 - 291
[5] MULTIPLE WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF MULTILINEAR CALDERON-ZYGMUND AND POTENTIAL TYPE OPERATORS
Wang, Panwang
Liu, Zongguang
[J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 11 (03): : 211 - 228
[6] Weighted norm inequalities for multilinear strongly singular Calderon-Zygmund operators on RD-spaces
Li, Wei
Wu, Lian
[J]. MATHEMATISCHE NACHRICHTEN, 2024, 297 (02) : 657 - 680
[7] Weighted Inequalities for Multilinear Potential Operators and their Commutators
Ana Bernardis
Osvaldo Gorosito
Gladis Pradolini
[J]. Potential Analysis, 2011, 35 : 253 - 274
[8] WEIGHTED INEQUALITIES FOR MULTILINEAR POTENTIAL TYPE OPERATORS
李文明
[J]. 数学物理学报, 2006, (S1) : 1144 - 1152
[9] Sharp and weighted inequalities for multilinear integral operators
Liu Lanzhe
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2007, 101 (01) : 99 - 111
[10] Weighted Inequalities for Multilinear Potential Operators and their Commutators
Bernardis, Ana
Gorosito, Osvaldo
Pradolini, Gladis
[J]. POTENTIAL ANALYSIS, 2011, 35 (03) : 253 - 274

← 1 2 3 4 5 →