Boundedness of multilinear singular integral operator with non-smooth kernels and mean oscillation

被引：36

作者：

Huang, Chuangxia ^{[1
]}

Liu, Lanzhe ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Dept Math, Changsha 410114, Hunan, Peoples R China

来源：

QUAESTIONES MATHEMATICAE | 2017年 / 40卷 / 03期

关键词：

Multilinear operator; singular integral operator; non-smooth kernel; BMO space; Orlicz space; WEIGHTED BOUNDEDNESS; COMMUTATORS; SPACES;

D O I：

10.2989/16073606.2017.1287136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the boundedness from Lebesgue space to Orlicz space of a certain multilinear operator related to a singular integral operator with non-smooth kernel is obtained.

引用

页码：295 / 312

页数：18

共 20 条

[1] A NOTE ON COMMUTATORS
CHANILLO, S
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1982, 31 (01) : 7 - 16
[2] A BMO ESTIMATE FOR MULTILINEAR SINGULAR-INTEGRALS
COHEN, J
GOSSELIN, J
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1986, 30 (03) : 445 - 464
[3] ON MULTILINEAR SINGULAR-INTEGRALS ON RN
COHEN, J
GOSSELIN, JA
[J]. STUDIA MATHEMATICA, 1982, 72 (03) : 199 - 223
[4] FACTORIZATION THEOREMS FOR HARDY SPACES IN SEVERAL VARIABLES
COIFMAN, RR
ROCHBERG, R
WEISS, G
[J]. ANNALS OF MATHEMATICS, 1976, 103 (03) : 611 - 635
[5] Commutators of singular integral operators with non-smooth kernels
Deng, DG
Yan, LX
[J]. ACTA MATHEMATICA SCIENTIA, 2005, 25 (01) : 137 - 144
[6] Weighted Boundedness for a Class of Rough Multilinear Operators
Ding Y.
Lu S.Z.
[J]. Acta Mathematica Sinica, 2001, 17 (3) : 517 - 526
[7] Duong XT, 1999, REV MAT IBEROAM, V15, P233
[8] Garcia-Cuerva J., 1985, Weighted Norm Inequalities and Related Topics
[9] MEAN OSCILLATION AND COMMUTATORS OF SINGULAR INTEGRAL-OPERATORS
JANSON, S
[J]. ARKIV FOR MATEMATIK, 1978, 16 (02): : 263 - 270
[10] PARACOMMUTATORS - BOUNDEDNESS AND SCHATTEN-VONNEUMANN PROPERTIES
JANSON, S
PEETRE, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 305 (02) : 467 - 504

← 1 2 →