SOME SHARP RELLICH TYPE INEQUALITIES ON NILPOTENT GROUPS AND APPLICATION

作者：Lian, Baosheng^*

来源：Acta Mathematica Scientia, 2013, 33(1): 59-74.

DOI：10.1016/S0252-9602(12)60194-5

• Rellich inequality
• Carnot group
• Heisenberg-Greiner operators

We prove some Rellich type inequalities for the sub-Laplacian on Carnot nilpotent groups. Using the same method, we obtain some analogous inequalities for the Heisenberg-Greiner operators. In most cases, the constants we obtained are optimal.

• 出版日期2013-1
• 单位武汉科技大学