【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。更多还原

【Abstract】 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 nonhomogeneous A-harmonic tensors.更多还原