摘要
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.
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.
基金
Supported by National Science Foundation of China(10901126)
Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Y201106)
National Science Foundation of Hubei Province(2010CDB03305)
Wuhan Chenguang Process(201150431096)
Open Fund of State Key Lab of Information Engineering in Surveying Mapping and Remote Sensing(11R01)
