Lipschitz Estimates for One-Sided Cohen's Commutators on Weighted One-Sided Triebel-Lizorkin Spaces

被引：0

作者：

Zhang, Xiao Jin ^{[1
,2
]}

Hou, Xian Ming ^{[3
,4
]}

机构：

[1] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China

[2] North China Inst Sci & Technol, Dept Basic Curriculum, Wuhan 065201, Hebei, Peoples R China

[3] Linyi Univ, Dept Math, Linyi 276005, Peoples R China

[4] Shandong Normal Univ, Sch Sci, Jinan 250014, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2014年 / 2014卷

关键词：

NORM INEQUALITIES; EXTRAPOLATION;

D O I：

10.1155/2014/720875

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce one-sided Cohen's commutators of singular integral operators and fractional integral operators, respectively. Using the extrapolation of one-sided weights, we establish the boundedness of these operators from weighted Lebesgue spaces to weighted one-sided Triebel-Lizorkin spaces.

引用

页数：7

共 20 条

[1] On weighted inequalities for singular integrals
Aimar, H
Forzani, L
MartinReyes, FJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (07) : 2057 - 2064
[2] WEIGHTED NORM INEQUALITIES FOR THE RIEMANN-LIOUVILLE AND WEYL FRACTIONAL INTEGRAL-OPERATORS
ANDERSEN, KF
SAWYER, ET
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (02) : 547 - 558
[3] COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
CALDERON, AP
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 53 (05) : 1092 - &
[4] Chen W. G., 2000, ADV MATH CHINA, V29, P325
[5] A SHARP ESTIMATE FOR A MULTILINEAR SINGULAR INTEGRAL IN RN
COHEN, J
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (05) : 693 - 702
[6] One-sided discrete square function
de la Torre, A
Torrea, JL
[J]. STUDIA MATHEMATICA, 2003, 156 (03) : 243 - 260
[7] Multilinear singular and fractional integrals
Ding, Y
Lu, SZ
Yabuta, K
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (02) : 347 - 356
[8] Fu Z., 2014, ABSTR APPL ANAL, V2014
[9] WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATORS OF ONE-SIDED OPERATORS ON ONE-SIDED TRIEBEL-LIZORKIN SPACES
Fu, Zun Wei
Wang, Guang Lan
Wu, Qing Yan
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 611 - 625
[10] Some one-sided estimates for oscillatory singular integrals
Fu, Zunwei
Lu, Shanzhen
Pan, Yibiao
Shi, Shaoguang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 108 : 144 - 160

← 1 2 →