Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group

被引：0
作者：
Yazhou Han
机构：
[1] College of Science,Department of Mathematics
[2] China Jiliang University,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2015年 / 46卷
关键词：
Weighted Hardy-Sobolev type inequality; Caffarelli-Kohn-Nirenberg type inequality; Heisenberg group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work is devoted to establish a class of Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group. Inspired by the idea of Chern and Lin, a function transformation is introduced. Combining some elementary inequalities and some accurate estimates, we establish a class of weighted Hardy-Sobolev type inequalities and then obtain our main result, namely Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group.
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页码：147 / 161
页数：14
相关论文
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