Weighted inequalities for fractional Hardy operators and commutators

被引：2
作者：
Li, Wenming [1 ]
Liu, Dong [1 ]
Liu, Jing [1 ]
机构：
[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang, Hebei, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期
关键词：
Fractional Hardy operator; Commutators; One-weight inequality; Two-weight inequality; Maximal function;
D O I：
10.1186/s13660-019-2108-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a fractional maximal operators N on (0,) associated to the fractional Hardy operator P and its dual Q,0<1, and obtain some characterizations for the one-weight and two-weight inequalities for N. We also give some Ap type sufficient conditions for the two-weight inequalities for the fractional Hardy operators, the dual operators and the commutators of the fractional Hardy operators with CMO functions.
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页数：14
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