Two-weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces

被引：11
作者：
Pan, Junren [1 ,2 ]
Sun, Wenchang [1 ,2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 05期
关键词：
fractional integrals; fractional maximal operators; weighted Morrey spaces; CALDERON-ZYGMUND OPERATORS; BOUNDS;
D O I：
10.1002/mana.201800493
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider weighted norm inequalities for fractional maximal operators and fractional integral operators. For suitable weights, we prove the two-weight norm inequalities for both operators on weighted Morrey spaces.
引用
收藏
页码：970 / 982
页数：13
相关论文
共 31 条
[1]   Commutators of Caldern-Zygmund and generalized fractional integral operators on generalized Morrey spaces [J].
Arai, Ryutaro ;
Nakai, Eiichi .
REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (02) :287-331
[2]   Sharp two weight inequalities for commutators of Riemann-Liouville and Weyl fractional integral operators [J].
Bernardis, Ana L. ;
Lorente, Maria .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 61 (04) :449-475
[3]   Two-weight characterization for commutators of bi-parameter fractional integrals [J].
Cao, Mingming ;
Gu, Heng .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 171 :1-20
[4]   Commutators of the fractional integrals for second-order elliptic operators on Morrey spaces [J].
Chen, Yanping ;
Ding, Yong .
FORUM MATHEMATICUM, 2018, 30 (03) :617-629
[5]   Vector-valued extensions for fractional integrals of Laguerre expansions [J].
Ciaurri, Oscar ;
Roncal, Luz .
STUDIA MATHEMATICA, 2018, 240 (01) :69-99
[6]  
Cruz-Uribe D, 2017, ADV COURSES MATH ANA, pVI
[7]  
Cruz-Uribe D, 2013, ILLINOIS J MATH, V57, P295
[8]   Characterizations of second order Sobolev spaces [J].
Cui, Xiaoyue ;
Lam, Nguyen ;
Lu, Guozhen .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 121 :241-261
[9]   Embeddings of weighted Morrey spaces [J].
Haroske, Dorothee D. ;
Skrzypczak, Leszek .
MATHEMATISCHE NACHRICHTEN, 2017, 290 (07) :1066-1086
[10]   SHARP WEIGHTED BOUNDS INVOLVING A∞ [J].
Hytoenen, Tuomas ;
Perez, Carlos .
ANALYSIS & PDE, 2013, 6 (04) :777-818
1234