Jie Huang

collaborators

3 papers

math.CV2025

Hardy spaces of harmonic quasiconformal mappings and Baernstein's theorem

Suman Das, Jie Huang, Antti Rasila

Let $S_{H}^{0} (K)$ , $K \geq 1$ , be the class of normalized $K$ -quasiconformal harmonic mappings in the unit disk. We obtain Baernstein type extremal results for the analytic an…

math.CV2025

Hölder continuity and composition operators in pluriharmonic Bloch spaces

Jie Huang, Suman Das, Antti Rasila

We show a Hölder estimate of order $1/ n$ for pluriharmonic Bloch mappings in the unit ball $B^{n} \subset C^{n}$ with respect to the Bergman metric. We apply this to…

math.CV2025

Zygmund's theorem for harmonic quasiregular mappings

Suman Das, Jie Huang, Antti Rasila

Given an analytic function $f = u + i v$ in the unit disk $D$ , Zygmund's theorem gives the minimal growth restriction on $u$ which ensures that $v$ is in the Hardy space $h^{1}$ .…