Manzi Huang

activity

20112022

collaborators

4 papers

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 $X$ of a compact metric space $Z$ equipped with a doubling measure. Given a suitable me…

math.CV2015

On the subinvariance of uniform domains in metric spaces

Yaxiang Li, Manzi Huang, Xiantao Wang +1

Suppose that $X$ and $Y$ are quasiconvex and complete metric spaces, that $G \subset X$ and $G^{'} \subset Y$ are domains, and that $f : G \to G^{'}$ is a homeomorphism. Our main result is t…

math.CV2012

On bilipschitz extensions in real Banach spaces

Manzi Huang, Yaxiang Li

Suppose that $E$ and $E^{'}$ denote real Banach spaces with dimension at least 2, that $D \neq = E$ and $D^{'} \neq = E^{'}$ are bounded domains with connected boundaries, that $f : D \to D^{'}$ is an…

math.FA2011

Quasihyperbolic geodesics in John domains in R^n

Manzi Huang, Xiantao Wang

In this paper, we prove that if $D \subset R^{n}$ is a John domain which is homeomorphic to a uniform domain via a quasiconformal mapping, then each quasihyperbolic geodesic in $D$ is…