Representation formulae for the higher-order Steklov and $L^{2^m}$-Friedrichs inequalities

IF 0.5 4区 数学 Q3 MATHEMATICS
Tohru Ozawa, Durvudkhan Suragan
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引用次数: 0

Abstract

In this paper, we obtain remainder term representation formulae for the higher-order Steklov inequality for vector fields which imply short and direct proofs of the sharp (classical) Steklov inequalities. The obtained results directly imply sharp Steklov type inequalities for some vector fields satisfying Hörmander’s condition, for example. We also give representation formulae for the $L^{2^m}$-Friedrichs inequalities for vector fields.
高阶斯特克洛夫不等式和 $L^{2^m}$ 弗里德里希不等式的表示公式
在本文中,我们获得了向量场的高阶斯特克洛夫不等式的余项表示公式,这意味着尖锐(经典)斯特克洛夫不等式的简短直接证明。例如,所获得的结果直接意味着满足赫曼德条件的某些向量场的尖锐斯特克洛夫型不等式。我们还给出了向量场的 $L^{2^m}$ 弗里德里希不等式的表示公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.00
自引率
0.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: Publishes original research papers and survey articles on all areas of pure mathematics and theoretical applied mathematics.
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