摘要
函数形式的Poincaré不等式在偏微分方程、位势分析等领域有着广泛的应用.给出LaplaceBeltrami算子和Green算子复合作用下A-调和张量的双权Poincaré不等式.它是经典Poincaré不等式的自然推广,并为A-调和张量性质的研究提供了有效工具.
Poincare-type inequalities for functions have wide applications in PDEs, potential analysis, and we obtain the two-weight Poineare-type inequality for composition of Laplace-Beltrami operator and Green＇ s operator applied to A-harmonic tensors. It is a natural generalization of the classical Poincare inequality, and the result can provide effective tools for studying properties of A harmonic tensors.
出处
《大学数学》
2013年第6期35-38,共4页
College Mathematics
关键词
微分形式
A-调和方程
双权函数
Green算子
differential forms
A-harmonic tensors
two-weight functions
Green＇ s operators
