| 摘要: |
| 本文主要利用平方展开方法建立了关于Grushin算子的最佳L2-Caffarelli-Kohn-Nirenberg不等式.对这类不等式中所有可能的参数在文中均给了证明.这些结果推广了欧式空间相应的结论以及Flynn的结果 |
| 关键词: Grushin算子 Caffarelli-Kohn-Nirenberg不等式 最佳常数 |
| DOI： |
| 分类号:O178 |
| 基金项目: |
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| Sharp L2-Caffarelli-Kohn-Nirenberg inequalities for Grushin operator |
|
xiongzhouning
|
|
Wuhan University
|
| Abstract: |
| In this paper we establish the sharp L2-Caffarelli - Kohn - Nirenberg inequalities for Grushin operator, by using the expand of squares method. It is shown here that these inequalities are sharp for all possible parameter values for these inequalities, which generalize the corresponding result in the setting of Euclidean space and the result of Flynn |
| Key words: Grushin operator Caffarelli-Kohn-Nirenberg inequality best constant |
