Suman Das

collaborators

6 papers

math.CV2026

Isoperimetric-type inequalities for pluriharmonic functions on the polydisc

Suman Das, Antti Rasila, Jian-Feng Zhu

We prove isoperimetric-type inequalities for complex-valued pluriharmonic functions in the unit polydisc $U^{n} \subset C^{n}$ . Denote by $h^{p} (U^{n})$ and $b^p_{…

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

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

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

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 $h^{1}$ .…