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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
Anton Gjokaj, David Kalaj
We prove that every sense-preserving harmonic --quasiconformal homeomorphism between Lyapunov domains (equivalently, bounded domains) in …