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math.FA2023
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…
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…
math.FA2011
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…