复合算子的双权Poincaré-型不等式  

Two-weight Poincaré Type Inequalities for Composite Operator

作　　者：邢宇明[1] 王勇[1] 包革军[1] 

机构地区：[1]哈尔滨工业大学理学院数学系,哈尔滨150001

出　　处：《大学数学》2013年第6期35-38,共4页College Mathematics

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.

关 键 词：微分形式 A-调和方程 双权函数 Green算子 

分 类 号：O175[理学—数学]