Suman Das

activity

20242026

most citedNote on real and imaginary parts of harmonic quasiregular mappings

3 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 2025 · math.CVShow all

4 papers · 2 filters

math.CV2025

On harmonic quasiregular mappings in Bergman spaces

Suman Das, Antti Rasila

A classical result of Hardy and Littlewood says that if $f = u + i v$ is analytic in the unit disk $D$ and $u$ is in the harmonic Bergman space $a^{p}$ ( $0 < p < \infty$ ), then $v$ i…

math.CV2025★ 3 cited

Note on real and imaginary parts of harmonic quasiregular mappings

Suman Das, Antti Rasila

If $f = u + i v$ is analytic in the unit disk $D$ , it is known that the integral means $M_{p} (r, u)$ and $M_{p} (r, v)$ have the same order of growth. This is false if $f$ is a (compl…

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 $h^{1}$ .…