论文标题
Sobolev，Hardy，Gagliardo-Nirenberg和Caffarelli-Kohn-Nirenberg类型的不平等现象
Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives
论文作者
论文摘要
在本文中，我们显示了分数差异操作员的不同不平等现象。特别是，获得了Caputo，Riemann-Liouville和Hadamard衍生品的Sobolev，Hardy，Gagliardo-Nirenberg和Caffarelli-Kohn-Nirenberg类型的不平等现象。此外，我们还显示了这些不平等的一些应用。
In this paper we show different inequalities for fractional order differential operators. In particular, the Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for the Caputo, Riemann-Liouville and Hadamard derivatives are obtained. In addition, we show some applications of these inequalities.
