A. Gjokaj

activity

20202026

most citedQCH mappings between unit ball and domain with

C^{1, α}

boundary

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.DG2026

Bergman barycentric extensions of boundary homeomorphisms of the complex ball

David Kalaj, Anton Gjokaj, Vladimir Jacimovic

We define a Bergman barycentric extension of boundary homeomorphisms of the complex unit ball by \[ E_B(f)(z)=\barB(f_*σ_z), \] where $\barB$ is the Busemann barycenter for the B…

math.AP2026

Lipschitz regularity of harmonic quasiconformal maps between Lyapunov domains in $R^{n}$

Anton Gjokaj, David Kalaj

We prove that every sense-preserving harmonic $K$ --quasiconformal homeomorphism $f : D \to Ω$ between Lyapunov domains (equivalently, bounded $C^{1, α}$ domains) in $R^{n}$ …

math.CV2025

On generalized M. Riesz conjugate function theorem for harmonic mappings

Anton Gjokaj, David Kalaj, Djordjije Vujadinovic

Let $L^{p} (T)$ be the Lesbegue space of complex-valued functions defined in the unit circle $T = {z : ∣ z ∣ = 1} \subseteq C$ . In this paper, we address the prob…

math.CV2021

H $o ¨$ lder continuity of QCH mappings from the unit ball to a domain with $C^{1}$ boundary

Anton Gjokaj

We prove that every quasiconformal mapping from the harmonic $β$ -Bloch space between the unit ball and a spatial domain with $C^{1}$ boundary is globally $α$ -Hölder continuous for $α…

math.AP2020★ 2 cited

QCH mappings between unit ball and domain with $C^{1, α}$ boundary

Anton Gjokaj, David Kalaj

We prove the following. If $f$ is a harmonic quasiconformal mapping between the unit ball in $R^{n}$ and a spatial domain with $C^{1, α}$ boundary, then $f$ is Lipschitz cont…

Bergman barycentric extensions of boundary homeomorphisms of the complex ball

Lipschitz regularity of harmonic quasiconformal maps between Lyapunov domains in Rn

On generalized M. Riesz conjugate function theorem for harmonic mappings

Ho¨lder continuity of QCH mappings from the unit ball to a domain with C1 boundary

QCH mappings between unit ball and domain with C1,α boundary

Lipschitz regularity of harmonic quasiconformal maps between Lyapunov domains in $R^{n}$

H $o ¨$ lder continuity of QCH mappings from the unit ball to a domain with $C^{1}$ boundary

QCH mappings between unit ball and domain with $C^{1, α}$ boundary