幂零李群上半空间内的加权Poincaré不等式

The Weighted Poincaré Inequality in the Upper Half Space of Nilpotent Lie Group

该文在幂零李群上半空间内建立了一类加权的Poincaré不等式.并且证明了所得的常数是最佳的.

In this paper, a class of weighted Poincare inequality is established in the upper half space of Nilpotent Lie group, and it is proved that the constant is the best.