Lφ-Embedding inequalities for some operators on differential forms

被引：0
|
作者：
Shi, Guannan [1 ]
Ding, Shusen [2 ]
Xing, Yuming [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Seattle Univ, Dept Math, Seattle, WA 98122 USA
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
homotopy operator; Dirac operator; Green's operator; L-phi-averaging domains; IMBEDDING INEQUALITIES;
D O I：
10.1186/s13660-015-0887-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the local Poincare inequality and embedding inequality are proved first. Then the global embedding inequality of composite operators for differential forms on L-phi-averaging domains with L-phi-norm is established. Some examples are also given to illustrate applications.
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页码：1 / 13
页数：13
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