SHARP MAXIMAL FUNCTION INEQUALITIES AND BOUNDEDNESS OF TOEPLITZ TYPE OPERATOR RELATED TO GENERAL FRACTIONAL INTEGRAL OPERATORS

被引：1

作者：

Liu, Lanzhe ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2013年 / 7卷 / 01期

关键词：

Toeplitz type operator; sharp maximal function; Morrey space; BMO; Lipschitz function; MORREY SPACES; COMMUTATORS; EQUATIONS;

D O I：

10.15352/bjma/1358864555

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish sharp maximal function inequalities for the Toeplitz type operator related to some general fractional integral operators. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

引用

页码：142 / 159

页数：18

共 50 条

[21] Sharp function estimates and boundedness for commutators associated with general singular integral operator
Zeng, Jiasheng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[22] Sharp Maximal Function Inequalities and Boundedness for Commutators of Riesz Transforms of Schrodinger Operators
Liu, Lanzhe
NOTE DI MATEMATICA, 2011, 31 (02): : 53 - 66
[23] BOUNDEDNESS ON MORREY SPACE FOR TOEPLITZ TYPE OPERATOR ASSOCIATED TO SINGULAR INTEGRAL OPERATOR WITH VARIABLE CALDERON-ZYGMUND KERNEL
Huang, Chuangxia
Guo, Sheng
Liu, Lanzhe
JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03): : 453 - 464
[24] WEIGHTED SHARP MAXIMAL FUNCTION INEQUALITIES AND BOUNDEDNESS OF A LINEAR OPERATOR ASSOCIATED TO A SINGULAR INTEGRAL OPERATOR WITH NON-SMOOTH KERNEL
Chen, Dazhao
COLLOQUIUM MATHEMATICUM, 2014, 135 (02) : 149 - 170
[25] Weighted boundedness for Toeplitz type operators related to strongly singular integral operators
Chen, Dazhao
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[26] Boundedness of Toeplitz-type operator associated to general integral operator on Lp spaces with variable exponent
Yuan, Xin-Sheng
Wang, Zhi-Gang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[27] Weighted sharp maximal function inequalities and boundedness of multilinear singular integral operator satisfying a variant of Hormander's condition
Wu, Changhong
Zhang, Meng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[28] Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space
Chen, Dazhao
OPEN MATHEMATICS, 2015, 13 : 678 - 690
[29] Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderon-Zygmund kernel
Chen, Dazhao
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 48 (03): : 657 - 668
[30] Weighted sharp function inequalities and boundedness for commutator of Riesz transforms of Schrodinger operator
Yu, Wenxin
Wang, Xiangyu
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (10) : 765 - 776

← 1 2 3 4 5 →