Inequalities for integral operators in Holder-Morrey spaces on differential forms

被引：0
|
作者：
Li, Xuexin [1 ,2 ]
Wang, Jianwei [2 ]
Pan, Ning [2 ]
机构：
[1] Northeast Forestry Univ, Inst Cold Reg Sci & Engn, Harbin 150040, Peoples R China
[2] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Holder-Morrey spaces; Homotopy operator; Riesz potential; Differential forms; THEOREMS;
D O I：
10.1186/s13660-023-02977-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Holder-Morrey spaces ?(p,t)(?) (O, ?(l)) are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Holder-Morrey spaces on differential forms. The Holder continuity for Riesz potential with envelope function is deduced. As application, some composite theorems, which are associated with conjugate A-harmonic equations on differential forms, are given.
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页数：15
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