摘要
首先建立了由广义Baoendi-Grushin向量场构成的退化p-次椭圆算子在p=Q时的基本解,然后通过构造合适的辅助函数,结合Kombe的方法,证明了p=Q时的Hardy不等式.
In this paper, the fundamental solution in the case of p=Q related to the degenerated p-sub-elliptic operator constructed by the generalized Baoendi-Grushin vector fields is established. Then the Hardy inequality for p = Q is proved by improving Kombe's method and choosing a proper auxiliary function.
出处
《西南民族大学学报(自然科学版)》
CAS
2007年第5期1001-1005,共5页
Journal of Southwest Minzu University(Natural Science Edition)
基金
陕西省自然科学基础研究计划资助项目(批准号2006A09).