3 papers
math.CV2025
Conjugate type properties of harmonic -quasiregular mappings
Shaolin Chen, David Kalaj
The main purpose of this paper is to investigate conjugate type properties for harmonic -quasiregular mappings, where and are constants. We first est…
math.DG2025
Gaussian curvature conjecture for minimal graphs
David Kalaj, Petar Melentijevic
In this paper, we solve the longstanding Gaussian curvature conjecture of a minimal graph over the unit disk. The conjecture asserts that for any minimal graph above the unit d…
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…