论文标题
高阶steklov和$ l^{2^{m}} $ - 弗里德里奇不等式的表示公式
Representation formulae for the higher-order Steklov and $L^{2^{m}}$-Friedrichs inequalities
论文作者
论文摘要
在本文中，我们获得了剩余的术语表示公式，用于对矢量场的高阶Steklov不等式，这意味着尖锐（经典）steklov不等式的简短和直接证明。例如，获得的结果直接暗示了某些满足Hörmander状况的矢量场的尖锐的steklov型不平等。我们还为$ l^{2^{m}} $ - 弗里德里奇（Friedrichs）的不等式提供表示公式。
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.
