论文标题
关于一般的Caffarelli-Kohn-Nirenberg类型的不平等现象，涉及不加倍的权重
On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights
论文作者
论文摘要
我们将建立Caffarelli-Kohn-Nirenberg类型的不平等现象，允许使用不加倍的权重。经典的Caffarelli-Kohn-Nirenberg型不平等现象被归类为非关键和关键案例， 众所周知，它们之间存在某种神秘的关系。有趣的是，这篇论文中的新框架使他们可以整合并揭示神秘关系的含义。
We will establish the Caffarelli-Kohn-Nirenberg type inequalities with non-doubling weights being permitted. The classical Caffarelli-Kohn-Nirenberg type inequalities are categorized into non-critical and critical cases, and it is known that there is some kind of mysterious relationship between them. Interestingly the new framework in this treatise allows them to be integrated and reveals the meaning of mysterious relationships.
