Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

被引：2

作者：

Yueshan Wang ^{[1
]}

Yuexiang He ^{[1
]}

机构：

[1] Department of Mathematics, Jiaozuo University

来源：

Analysis in Theory and Applications | 2016年 / 32卷 / 02期

关键词：

Multilinear fractional integral; generalized Herz space; commutator; Muckenhoupt weight;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Suppose b =（b;, ···, b;） ∈（BMO）;, I;is the iterated commutator of b and the m-linear multilinear fractional integral operator I;. The purpose of this paper is to discuss the boundedness properties of I;and I;on generalized Herz spaces with general Muckenhoupt weights.

引用

页码：103 / 121

页数：19

共 50 条

[1] The Commutators of Fractional Integrals on Generalized Herz Spaces
Hu, Yue
He, Yuexiang
Wang, Yueshan
[J]. JOURNAL OF FUNCTION SPACES, 2014, 2014
[2] Commutators of Multilinear Singular Integrals on Weighted Herz Spaces
Wang, Baozhen
Wang, Huimin
[J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
[3] Boundedness of multilinear commutators of generalized fractional integrals
Mo, Huixia
Lu, Shanzhen
[J]. MATHEMATISCHE NACHRICHTEN, 2008, 281 (09) : 1328 - 1340
[4] A class of commutators for multilinear fractional integrals in nonhomogeneous spaces
Lian, Jiali
Wu, Huoxiong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[5] A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
Jiali Lian
Huoxiong Wu
[J]. Journal of Inequalities and Applications, 2008
[6] CBMO Estimates for Commutators of Multilinear Fractional Integral Operators on Herz Spaces
Canqin Tang
[J]. Integral Equations and Operator Theory, 2007, 59 : 257 - 267
[7] CBMO estimates for commutators of multilinear fractional integral operators on herz spaces
Tang, Canqin
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (02) : 257 - 267
[8] Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent
Izuki M.
[J]. Rendiconti del Circolo Matematico di Palermo, 2010, 59 (3) : 461 - 472
[9] ON MULTILINEAR COMMUTATORS OF MARCINKIEWICZ INTEGRALS IN VARIABLE EXPONENT LEBESGUE AND HERZ TYPE SPACES
Wang, Liwei
Shu, Lisheng
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (01): : 77 - 96
[10] Multilinear commutators for fractional integrals in non-homogeneous spaces
Hu, GE
Meng, Y
Yang, DC
[J]. PUBLICACIONS MATEMATIQUES, 2004, 48 (02) : 335 - 367

← 1 2 3 4 5 →