论文标题
在Carrasco Piaggio的定理上，表征了从紧凑的双倍空间到ahlfors常规空间的准对称地图
On Carrasco Piaggio's theorem characterizing quasisymmetric maps from compact doubling spaces to Ahlfors regular spaces
论文作者
论文摘要
在本说明中，我们解构和探索了Carrasco Piaggio定理的组件，该定理将紧凑型公制空间的常规共形规范与gromov-Hyperbolic填充物的重量相关联。我们认为双曲线填充的结构比Carrasco Piaggio所考虑的要简单，并且确定Carrasco Piaggio对诱导度量的四种属性中的每种效果对紧凑的度量空间的影响。
In this note we deconstruct and explore the components of a theorem of Carrasco Piaggio, which relates Ahlfors regular conformal gauge of a compact doubling metric space to weights on Gromov-hyperbolic fillings of the metric space. We consider a construction of hyperbolic filling that is simpler than the one considered by Carrasco Piaggio, and we determine the effect of each of the four properties postulated by Carrasco Piaggio on the induced metric on the compact metric space.
