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.

引用

页数：14

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