H型群内上半空间Hardy不等式的最佳常数问题
ON THE BEST CONSTANTS OF HARDY INEQUALITIES ON HALF SPACES IN H-TYPE GROUPS

本文研究了H型幂零李群上Hardy不等式的问题.利用基本解的方法，获得了相关李群上的Hardy不等式，并且所得到的相关Hardy常数是最佳的.
In this paper, using the corresponding fundamental solution, we obtain some Hardy inequalities on half spaces for Kohn's sublaplacian in H-type groups. Furthermore, the constants we obtain are sharp