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

8 papers

math.CV2026

Averaged derivatives and reverse inequalities in quasiregular Bergman spaces

Suman Das

We study weighted Bergman spaces of quasiregular mappings on the unit ball in $R^{n}$ , with weight $(1 - ∣ x ∣)^{α}$ , $α > - 1$ . For every fixed distortion bound $K \geq 1$ and every $p…

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

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…

eess.SY2025

The Limits of "Fairness'' of the Variational Generalized Nash Equilibrium

Sophie Hall, Florian Dörfler, Heinrich H. Nax +1

Generalized Nash equilibrium (GNE) problems are commonly used to model strategic interactions between self-interested agents who are coupled in cost and constraints. Specifically,…

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★ 1 cited

Gabriel's problem for harmonic Hardy spaces

Suman Das

We obtain inequalities of the form $\int_{C} ∣ f (z) ∣^{p} ∣ d z ∣ \leq A (p) \int_{T} ∣ f (z) ∣^{p} ∣ d z ∣, (p > 1)$ where $f$ is harmonic in the unit disk $D$ , $T$ …