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 50 条

[21] Strong invariance and one-sided Lipschitz multifunctions
Donchev, T
Ríos, V
Wolenski, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (05) : 849 - 862
[22] WEIGHTED NORM ESTIMATES FOR ONE-SIDED MULTILINEAR INTEGRAL OPERATORS
Imerlishvili, Giorgi
Meskhi, Alexander
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2020, 174 (03) : 399 - 403
[23] Two weight norm inequalities for commutators of one-sided singular integrals and the one-sided discrete square function
Lorente, M
Riveros, MS
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 79 : 77 - 94
[24] Properties of one-sided Lipschitz multivalued maps
Donchev, T
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (01) : 13 - 20
[25] Weights for commutators of the one-sided discrete square function, the Weyl fractional integral and other one-sided operators
Lorente, M
Riveros, MS
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2005, 135 : 845 - 862
[26] Weighted inequalities for one-sided maximal functions in Orlicz spaces
Salvador, PO
STUDIA MATHEMATICA, 1998, 131 (02) : 101 - 114
[27] LOCALIZED SOLVABILITY OF RELAXED ONE-SIDED LIPSCHITZ INCLUSIONS IN HILBERT SPACES
Rieger, Janosch
Weth, Tobias
SIAM JOURNAL ON OPTIMIZATION, 2016, 26 (01) : 227 - 246
[28] One-Sided and Two One-Sided Multivariate Homogeneously Weighted Moving Charts for Monitoring Process Mean
Adegoke, Nurudeen A.
Riaz, Muhammad
Ganiyu, Khadijat Oladayo
Abbasi, Saddam Akber
IEEE ACCESS, 2021, 9 : 80388 - 80404
[29] The one-sided minimal operator and the one-sided reverse Holder inequality
CruzUribe, D
Neugebauer, CJ
Olesen, V
STUDIA MATHEMATICA, 1995, 116 (03) : 255 - 270
[30] Two weighted norm inequalities for generalized one-sided maximal function on one-sided weighted like Morrey space
Barman, Jyotirmay
Haloi, Rajib
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,

← 1 2 3 4 5 →