24 citations · 68 across the 31 of their papers we have counts for
5 papers · 2 filters
Quasiconformal mappings and Hölder continuity
David Kalaj, Arsen Zlaticanin
We establish that every -quasiconformal mapping of the unit ball $\IB$ onto a -Jordan domain is Hölder continuous with constant , provided that it…
The Schwarz type Lemmas and the Landau type theorem of mappings satisfying Poisson's equations
Shaolin Chen, David Kalaj
For a given continuous function , we establish some Schwarz type Lemmas for mappings in satisfying the {\rm PDE}: , where is a subset o…
A sharp inequality for harmonic diffeomorphisms of the unit disk
David Kalaj
We extend the classical Schwarz-Pick inequality to the class of harmonic mappings between the unit disk and a Jordan domain with given perimeter. It is intriguing that the extremal…
Lipschitz continuity of holomorphic mappings with respect to Bergman metric
Shaolin Chen, David Kalaj
n this paper, we establish the sharp estimate of the Lipschitz continuity with respect to the Bergman metric. The obtained results are the improvement and generalization of the cor…
Gradient of solution of the Poisson equation in the unit ball and related operators
David Kalaj, Djordjije Vujadinovic
In this paper we determine the and norms of an integral operator related to the gradient of the solution of Poisson equation in…