复合算子的单权Poincaré-型不等式  

Single weighted Poincaré-type inequalities for the composite operator

作　　者：贺丹[1] 

机构地区：[1]黑龙江工程学院数学系,黑龙江哈尔滨150050

出　　处：《黑龙江工程学院学报》2014年第1期78-80,共3页Journal of Heilongjiang Institute of Technology

摘　　要：首先建立作用于光滑微分形式的复合算子T·G的Poincaré-型积分不等式,其中算子T为同伦算子,G为格林算子。在此基础上,利用A-调和方程解的相关性质及结果,给出作用于非齐次A-调和张量的复合算子T·G的单权Poincaré-型积分估计式。First it establishes the Poincaré-type integral inequalities for the composite operator T · G acted on smooth differential forms. Operator T is homotopy operator and G is Green＇s operator. On the basis of this, using the properties and results on estimates for the A-harmonic equations, the single weighted Poincaré-type integral estimates are obtained for the composite operator T · G acted on the non-homogeneous A-harmonic tensors.

关 键 词：非齐次A-调和方程 微分形式 双权函数 积分不等式 

分 类 号：O175.2[理学—数学]