Jie Huang

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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

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 $h^{1}$ .…

math.CV2024

On angular limits of quasiregular mappings

Jie Huang, Antti Rasila, Matti Vuorinen

We investigate Lindelöf and Koebe type boundary behavior results for bounded quasiregular mappings in $n$ -dimensional Euclidean space. Our results give sufficient conditions for th…