D. Kalaj

activity

20072026

most citedLipschitz spaces and harmonic mappings

24 citations · 152 across the 76 of their papers we have counts for

collaborators

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60 papers · 1 filter

math.CV2026

Sharp mean-width and Jacobian bounds for Euclidean and hyperbolic harmonic maps

Deguang Zhong, David Kalaj

We prove a sharp mean-width inequality for monotone zonal operators and derive global and differential bounds for Euclidean and hyperbolic-harmonic self-maps of the unit ball. Let…

math.CV2025

Conjugate type properties of harmonic $(K, K^{'})$ -quasiregular mappings

Shaolin Chen, David Kalaj

The main purpose of this paper is to investigate conjugate type properties for harmonic $(K, K^{'})$ -quasiregular mappings, where $K \geq 1$ and $K^{'} \geq 0$ are constants. We first est…

math.CV2024

Minimization of Dirichlet energy of $j -$ degree mappings between annuli

David Kalaj

Let $A$ and $B$ be circular annuli in the complex plane and consider the Dirichlet energy integral of $j -$ degree mappings between $A$ and $B$ . T…

math.CV2024

Sharp pointwise estimate of $α -$ harmonic functions

David Kalaj

Let $α > - 1$ and assume that $f$ is $α -$ harmonic mapping defined in the unit disk that belongs to the Hardy class $h^{p}$ with $p \geq 1$ . We obtain some sharp estimates of the type $|f(…

math.CV2023

Riesz and Kolmogorov inequality for harmonic quasiregular mappings

David Kalaj

Let $K \geq 1$ and $p \in (1, 2]$ . We obtain asymptotically sharp constant $c (K, p)$ , when $K \to 1$ in the inequality $∥ℑ f ∥_{p} \leq c (K, p) ∥ℜ (f) ∥_{p}$ where $f \in h^{p}$ is…

math.CV2023

Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature

David Kalaj, Miodrag Mateljević, Iosif Pinelis

Assume that $f$ is a real $ρ$ -harmonic function of the unit disk $D$ onto the interval $(- 1, 1)$ , where $ρ (u, v) = R (u)$ is a metric defined in the infinite strip $(-1,1)\time…

Sharp mean-width and Jacobian bounds for Euclidean and hyperbolic harmonic maps

Conjugate type properties of harmonic (K,K′)-quasiregular mappings

Minimization of Dirichlet energy of j−degree mappings between annuli

Sharp pointwise estimate of α−harmonic functions

Riesz and Kolmogorov inequality for harmonic quasiregular mappings

Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature

Conjugate type properties of harmonic $(K, K^{'})$ -quasiregular mappings

Minimization of Dirichlet energy of $j -$ degree mappings between annuli

Sharp pointwise estimate of $α -$ harmonic functions