论文标题
pi空间中的加权加权Sobolev不平等
Adimensional weighted Sobolev inequalities in PI spaces
论文作者
论文摘要
我们提供了一个全球加权的Sobolev不平等和耐力不平等的家庭，可能会出现非最大量增长。我们的结果特别适用于非平凡的Ahlfors常规空间，例如Laakso空间和Kleiner-Schioppa空间。
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and Kleiner-Schioppa spaces.
