24 citations · 30 across the 19 of their papers we have counts for
20 papers
Characterizations of quasihyperbolic John domains and uniform domains in metric spaces
Shu-Jing Gao, Chang-Yu Guo, Manzi Huang +1
In a recent work of Zhou and Ponnusamy [Ann. Sc. Norm. Super. Pisa Ci. Sci. 2025], the authors studied the following natural question: find sufficient and necessary conditions for…
Gromov hyperbolicity III: an improved geometric characterization and its applications
Chang-Yu Guo, Manzi Huang, Xiantao Wang
In the seminal work of Balogh-Buckley [Invent. Math. 2003], the authors asked the following fundamental open problem: for proper subdomains in the Euclidean space , d…
Dimension-free inner uniform estimates for quasigeodesics
Chang-Yu Guo, Manzi Huang, Yaxiang Li +1
In this paper, we establish a dimension-free inner uniform estimate for quasigeodesics. More precisely, we prove that a -quasigeodesic in a -Gromov hyperbolic -John doma…
The dimension-free Gehring-Hayman inequality for quasigeodesics
Chang-Yu Guo, Manzi Huang, Xiantao Wang
A well-known theorem of J. Heinonen and S. Rohde in 1993 states that if is quasiconformally equivalently to an uniform domain, then the Gehring-Hayman inequ…
Sharp Riesz conjugate functions theorems for quasiregular mappings
Shaolin Chen, Manzi Huang, Xiantao Wang +1
One of the celebrated results by Riesz \cite{Rie} is the Riesz conjugate functions theorem for analytic functions in the complex plane . The study on the Riesz conjugat…
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…
Isoperimetric type inequalities for mappings induced by weighted Laplace differential operators
Jiaolong Chen, Shaolin Chen, Manzi Huang +1
The main purpose of this paper is to establish some isoperimetric type inequalities for mappings induced by the weighted Laplace differential operators. The obtained results of thi…
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…
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…
-harmonic mappings between metric spaces
Chang-Yu Guo, Manzi Huang, Zhuang Wang +1
In this paper, we solve the Dirichlet problem for Sobolev maps between singular metric spaces that extends the corresponding result of Guo and Wenger [Comm. Anal. Geom. 2020]. The…
Geometric characterizations of inner uniformity through Gromov hyperbolicity
Manzi Huang, Antti Rasila, Xiantao Wang +1
In this paper, we study the characterization of inner uniformity of bounded domains in $\IR^n$, and prove that the following three conditions are equivalent: is inner…
On Lipschitz continuity of solutions of hyperbolic Poisson's equation
Jiaolong Chen, Manzi Huang, Antti Rasila +1
In this paper, we investigate solutions of the hyperbolic Poisson equation , where and \[ Δ_{h}u(x)= (1-|x|^2)^2Δu(x…
On the subinvariance of uniform domains in metric spaces
Yaxiang Li, Manzi Huang, Xiantao Wang +1
Suppose that and are quasiconvex and complete metric spaces, that and are domains, and that is a homeomorphism. Our main result is t…
Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces
Manzi Huang, Antti Rasila, Xiantao Wang +1
In this paper, we investigate the relationship between semisolidity and locally weak quasisymmetry of homeomorphisms in quasiconvex and complete metric spaces. Our main objectives…
On bilipschitz extensions in real Banach spaces
Manzi Huang, Yaxiang Li
Suppose that and denote real Banach spaces with dimension at least 2, that and are bounded domains with connected boundaries, that is an…
On the subinvariance of uniform domains in Banach spaces
Manzi Huang, Xiantao Wang, Matti Vuorinen
Suppose that and denote real Banach spaces with dimension at least 2, that and are domains, and that is a homeomorphism. In this p…
Mapping problems for quasiregular mappings
Manzi Huang, Antti Rasila, Xiantao Wang
We study images of the unit ball under certain special classes of quasiregular mappings. For homeomorphic, i.e., quasiconformal mappings problems of this type have been studied ext…
On quasisymmetry of quasiconformal mappings and its applications
M. Huang, S. Ponnusamy, A. Rasila +1
Suppose that is a quasiconformal mapping, where and are domains in , and that is a broad domain. Then for every arcwise connected subset $A…
On quasimöbius maps in real Banach spaces
Manzi Huang, Yaxiang Li, Matti Vuorinen +1
Suppose that and denote real Banach spaces with dimension at least 2, that and are domains, that is an -CQH hom…
Quasihyperbolic geodesics in John domains in R^n
Manzi Huang, Xiantao Wang
In this paper, we prove that if is a John domain which is homeomorphic to a uniform domain via a quasiconformal mapping, then each quasihyperbolic geodesic in is…