24 citations · 30 across the 19 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.MG2022
Quasi-symmetries between metric spaces and rough quasi-isometries between their infinite hyperbolic cones
Manzi Huang, Zhihao Xu
In this paper, we first prove that any power quasi-symmetry of two metric spaces induces a rough quasi-isometry between their infinite hyperbolic cones. Second, we prove that for a…
math.FA2022
Characterizations for the existence of traces of first-order Sobolev spaces on hyperbolic fillings
Manzi Huang, Zhihao Xu
In this paper, we study the existence of traces for Sobolev spaces on the hyperbolic filling of a compact metric space equipped with a doubling measure. Given a suitable me…