3 papers
math.CV2025
Quantitative correspondence between quasi-symmetric mappings on complete metric spaces and rough quasi-isometric mappings on their hyperbolic fillings
Manzi Huang, Xiantao Wang, Zhuang Wang +1
In this paper, we establish a quantitative correspondence between power quasi-symmetric mappings on complete metric spaces and rough quasi-isometric mappings on their hyperbolic fi…
math.FA2023
Locally biHölder continuous mappings and their induced embeddings between Besov spaces
Manzi Huang, Xiantao Wang, Zhuang Wang +1
In this paper, we introduce a class of homeomorphisms between metric spaces, which are locally biHölder continuous mappings. Then an embedding result between Besov spaces induced b…
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…