论文标题
Laguerre BV空间,Laguerre周长及其应用
Laguerre BV spaces, Laguerre perimeter and their applications
论文作者
论文摘要
在本文中,我们介绍了Laguerre有限的变化空间和Laguerre周边,从而研究了它们的特性。此外,我们证明了在Laguerre环境中的等级不平等和Sobolev的不平等。作为应用,我们得出了拉瓜周长的平均曲率。
In this paper, we introduce the Laguerre bounded variation space and the Laguerre perimeter, thereby investigating their properties. Moreover, we prove the isoperimetric inequality and the Sobolev inequality in the Laguerre setting. As applications, we derive the mean curvature for the Laguerre perimeter.