D. Kalaj

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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.CV2025

Weighted contractivity for derivatives of functions in the Bergman space on the unit disk

David Kalaj, Petar MelentijeviÄ

In a recent paper, Ramos and Tilli proved certain sharp inequality for analytic functions in subdomains of the unit disk. We will generalize their main inequality for derivatives o…

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…

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

Weighted contractivity for derivatives of functions in the Bergman space on the unit disk

Minimization of Dirichlet energy of j−degree mappings between annuli

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

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