A singular integral of the composite operator

被引：18

作者：

Ding, Shusen ^{[2
]}

Liu, Bing ^{[1
]}

机构：

[1] Saginaw Valley State Univ, Dept Math Sci, University Ctr, MI 48710 USA

[2] Seattle Univ, Dept Math, Seattle, WA 98122 USA

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 08期

关键词：

Poincare-type inequality; Differential forms; A-harmonic equations; The homotopy operator and the projection operator; DIFFERENTIAL FORMS; INEQUALITIES;

D O I：

10.1016/j.aml.2009.01.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the Poincare-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1271 / 1275

页数：5

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